Splash Screen
description
Transcript of Splash Screen
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Five-Minute Check (over Lesson 10–5)
NGSSS
Then/Now
New Vocabulary
Theorem 10.12
Example 1:Use Intersecting Chords or Secants
Theorem 10.13
Example 2:Use Intersecting Secants and Tangents
Theorem 10.14
Example 3:Use Tangents and Secants that Intersect Outside a Circle
Example 4:Real-World Example: Apply Properties of Intersecting Secants
Concept Summary: Circle and Angle Relationships
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Over Lesson 10–5
A. yes
B. no
Determine whether BC is tangent to the given circle.___
A. A
B. B
A B
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Over Lesson 10–5
A. yes
B. no
Determine whether QR is tangent to the given circle.___
A. A
B. B
A B
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Over Lesson 10–5
A. A
B. B
C. C
D. D A B C D
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A. 10
B. 11
C. 12
D. 13
Find x. Assume that segments that appear to be tangent are tangent.
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Over Lesson 10–5
A. A
B. B
C. C
D. D A B C D
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Find x. Assume that segments that appear to be tangent are tangent.
A.
B.
C. 20
D.
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Over Lesson 10–5
A. A
B. B
C. C
D. D A B C D
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SL and SK are tangent to the circle. Find x.______
A. 1
B.
C. 5
D. 44
__5
2
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MA.912.G.6.2 Define and identify: circumference, radius, diameter, arc, arc length, chord, secant, tangent and concentric circles.
MA.912.G.6.4 Determine and use measures of arcs and related angles.
Also addresses MA.912.G.6.3.
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You found measures of segments formed by tangents to a circle. (Lesson 10–5)
• Find measures of angles formed by lines intersecting on or inside a circle.
• Find measures of angles formed by lines intersecting outside the circle.
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Use Intersecting Chords or Secants
A. Find x.
Theorem 10.12
Substitution
Simplify.
Answer: x = 82
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Use Intersecting Chords or Secants
B. Find x.
Theorem 10.12
Substitution
Simplify.
Step 1 Find mVZW.
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Use Intersecting Chords or Secants
Step 2 Find mWZX.
WZX = 180 – VZW Definition of supplementaryangles
x = 180 – 79 Substitution
x = 101 Simplify.
Answer: x = 101
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C. Find x.
Theorem 10.12
Substitution
Multiply each side by 2.
Use Intersecting Chords or Secants
Subtract 25 from each side.
Answer: x = 95
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A. A
B. B
C. C
D. D A B C D
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A. 92
B. 95
C. 98
D. 104
A. Find x.
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A. A
B. B
C. C
D. D A B C D
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A. 92
B. 95
C. 97
D. 102
B. Find x.
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A. A
B. B
C. C
D. D A B C D
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A. 96
B. 99
C. 101
D. 104
C. Find x.
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Use Intersecting Secants and Tangents
A. Find mQPS.
Theorem 10.13
Substitute and simplify.
Answer: mQPS = 125
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B.
Theorem 10.13
Use Intersecting Secants and Tangents
Substitution
Multiply each side by 2.
Answer:
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A. A
B. B
C. C
D. D A B C D
0% 0%0%0%
A. 98
B. 108
C. 112.5
D. 118.5
A. Find mFGI.
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A. A
B. B
C. C
D. D A B C D
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A. 99
B. 148.5
C. 162
D. 198
B.
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Use Tangents and Secants that Intersect Outside a Circle
A.
Theorem 10.14
Substitution
Multiply each side by 2.
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Use Tangents and Secants that Intersect Outside a Circle
Subtract 141 from each side.
Multiply each side by –1.
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Use Tangents and Secants that Intersect Outside a Circle
B.
Theorem 10.14
Substitution
Multiply each side by 2.
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Use Tangents and Secants that Intersect Outside a Circle
Add 140 to each side.
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A. A
B. B
C. C
D. D A B C D
0% 0%0%0%
A. 23
B. 26
C. 29
D. 32
A.
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A. A
B. B
C. C
D. D A B C D
0% 0%0%0%
A. 194
B. 202
C. 210
D. 230
B.
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Apply Properties of Intersecting Secants
Theorem 10.14
Substitution
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Apply Properties of Intersecting Secants
Multiply each side by 2.
Subtract 96 from each side.
Multiply each side by –1.
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A. A
B. B
C. C
D. D A B C D
0% 0%0%0%
A. 25
B. 35
C. 40
D. 45
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