Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS...
Transcript of Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS...
![Page 1: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/1.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 2: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/2.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 3: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/3.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 4: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/4.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 5: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/5.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 6: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/6.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 7: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/7.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 8: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/8.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 9: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/9.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 10: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/10.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 11: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/11.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 12: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/12.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 13: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/13.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 14: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/14.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 15: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/15.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 16: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/16.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 17: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/17.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 18: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/18.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 19: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/19.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 20: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/20.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 21: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/21.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 22: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/22.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 23: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/23.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 24: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/24.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 25: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/25.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 26: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/26.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 27: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/27.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 28: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/28.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 29: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/29.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 30: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/30.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 31: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/31.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 32: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/32.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 33: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/33.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 34: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/34.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 35: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/35.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 36: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/36.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 37: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/37.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 38: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/38.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 39: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/39.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 40: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/40.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 41: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/41.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 42: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/42.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 43: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/43.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 44: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/44.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 45: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/45.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 46: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/46.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 47: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/47.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 48: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/48.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 49: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/49.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 50: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/50.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 51: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/51.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 52: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/52.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 53: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/53.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 54: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/54.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 55: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/55.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 56: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/56.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 57: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/57.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 58: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/58.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 59: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/59.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 60: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/60.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 61: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/61.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 62: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/62.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 63: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/63.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 64: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/64.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 65: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/65.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 66: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/66.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 67: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/67.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 68: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/68.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 69: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/69.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 70: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/70.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 71: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/71.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 72: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/72.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 73: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/73.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 74: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/74.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 75: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/75.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 76: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/76.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 77: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/77.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 78: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/78.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 79: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/79.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 80: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/80.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 81: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/81.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 82: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/82.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 83: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/83.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 84: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/84.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 85: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/85.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 86: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/86.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 87: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/87.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 88: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/88.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 89: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/89.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 90: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/90.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 91: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/91.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 92: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/92.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 93: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/93.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 94: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/94.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 95: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/95.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 96: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/96.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 97: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/97.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 98: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/98.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 99: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/99.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 100: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/100.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 101: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/101.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 102: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/102.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 103: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/103.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 104: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/104.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 105: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/105.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 106: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/106.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 107: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/107.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 108: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/108.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 109: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/109.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 110: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/110.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 111: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/111.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 112: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/112.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 113: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/113.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 114: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/114.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 115: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/115.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 116: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/116.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 117: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/117.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 118: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/118.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________
![Page 119: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/119.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS
Name: ________________________________________ Date: __________________ Block: _______
MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,
major arc, or semicircle. Then find the measure of the arc.
State the best term for the given figure in the diagram.
1) 2)
3) 4)
5) 6)
7) 8)
9) 10)
11) 12)
13) has a measure of °90 in circle R. Find the length of PQ .
Find the indicated arc measure.
14) 15)
16)
Two diameters of circle T are PQ and RS . Find the given arc measure if .
17) 18) 19) 20)
RT and PS are diameters of circle N. Find the measure of the given arc if .
21) 22) 23) 24)
Tell whether the given arcs are congruent. Explain.
25) and
26) and 27) and
![Page 120: Geometry G.11 Circles: Arc Measures, Chords WS …...Geometry G.11 Circles: Arc Measures, Chords WS Page 2 Find the measure of the given arc or chord. 28) 29) m 30) QS 31) 32) 33)](https://reader034.fdocuments.in/reader034/viewer/2022042605/5f527b60d739901ffb50fd8a/html5/thumbnails/120.jpg)
Geometry G.11 Circles: Arc Measures, Chords WS Page 2
Find the measure of the given arc or chord.
28) 29) m 30) QS
31) 32) 33) m
Find the value of x. 34) 35) 36)
37) 38) 39)
Determine if PR is a diameter of the circle.
40) 41) 42) 43)
44) Complete the proof:
Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆
1) PQ is a diameter of circle U;
1) ______________________________
2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅
3) USUTUQUP ≅≅≅ 3) ______________________________
4) QUSPUT ∆≅∆ 4) ______________________________