Bellringer Use the diagram to identify 1 pair of each of the following: -Corresponding angles...
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Transcript of Bellringer Use the diagram to identify 1 pair of each of the following: -Corresponding angles...
BellringerBellringerUse the diagram to identify 1 pair of each of the following:
-Corresponding angles-Adjacent angles-Vertical angles
GeometryGeometryGeometryGeometryJEOPARDYJEOPARDYJEOPARDYJEOPARDY
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PPLLAAYY
click hereclick heretoto
PPLLAAYY
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Basic Angles
Congruent Triangles
Pythagorean Theorem
VolumeTriangles
Go to Final JeopardyReplay
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$100
$200
$400
$500
Angle Relationships
GEO
METR
Y JEO
PA
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METR
Y JEO
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METR
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Angles a and b are Angles a and b are congruent because of congruent because of
_______________ angles_______________ angles
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Basic Angles $100$100
Angles a and b are Angles a and b are congruent because of congruent because of
VerticalVertical anglesangles
$100$100
Basic Angles $100$100
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Basic Angles $200$200
Which angle is adjacent to DGC?∠
a) FGA∠b) DGE∠c) EGF∠d) AGB∠
$200$200
Basic Angles $200$200
Which angle is adjacent to DGC?∠
a) FGA∠b) DGE∠c) EGF∠d) AGB∠
Write and solve an Write and solve an equation to find the equation to find the
measure of angle b. measure of angle b.
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Basic Angles $300$300
Write and solve an equation to Write and solve an equation to find the measure of angle b. find the measure of angle b.
b + 63 = 90b + 63 = 90
-63 -63 -63 -63
b = 27˚b = 27˚
$300$300
Basic Angles $300$300
Line l and m are parallel. Angle 8 Line l and m are parallel. Angle 8 is congruent to angle 2 because is congruent to angle 2 because of_____________ ___________ of_____________ ___________
_____________ _____________
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Basic Angles $400$400
5454
Line l and m are parallel. Angle 8 Line l and m are parallel. Angle 8 is congruent to angle 2 because is congruent to angle 2 because
of of Alternate Interior AnglesAlternate Interior Angles
$400$400
Basic Angles $400$400
If line p and line t are parallel, If line p and line t are parallel, name one pair of name one pair of corresponding angles.corresponding angles.
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Basic Angles $500$500
Line p
Line t
If line p and line t are parallel, If line p and line t are parallel, name one pair of corresponding name one pair of corresponding angles.angles.
A and EA and E
B and FB and F
C and GC and G
D and HD and H
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Basic Angles $500$500
Line p
Line t
Line p
Line t
∠x and y are complementary. ∠
∠x = (2w + 8)˚ and y = 14 ∠˚ What is the measure of
x? ∠
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Angle Relationships $100$100
∠x and y are complementary. ∠
∠x = (2w + 8)˚ and y = 14 ˚ ∠What is the measure of x? ∠
$100$100
Angle Relationships $100$100
∠x = (2w + 8)˚
∠x = 2(34) + 8
∠x = 68+ 8∠x = 76˚
(2w + 8) + 14 = 902w + 22 = 90 -22 -222w = 68w = 34
∠h and j are supplementary. ∠
∠h = 123˚ and j = (12+3x)˚ ∠What is the measure of j? ∠
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Angle Relationships $200$200
∠h and j are supplementary. ∠
∠h = 123˚ and j = (12+3x)˚ ∠What is the measure of j? ∠
$200$200
Angle Relationships $200$200
∠j = (12 + 3x)˚
∠j = 12+ 3(15)
∠j = 12+ 45∠j = 57˚
(12 + 3x) + 123 = 1803x + 135 = 180 -135 -1353x = 45x = 15
Lines l and m are parallel. Angle Lines l and m are parallel. Angle 6 is supplementary to which 6 is supplementary to which
angles? angles?
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Angle Relationships $300$300
Lines l and m are parallel. Angle Lines l and m are parallel. Angle 6 is supplementary to which 6 is supplementary to which
angles? angles?
∠ 22
∠ 55
∠ 11
∠ 88$300
Angle Relationships $300$300
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Angle Relationships $400$400
$400$400
Angle Relationships $400$400Which angles are adjacent?a) HIK and JIF∠ ∠b) HIK and KIJ∠ ∠c) HIK and EFI∠ ∠d) HIK and DFG∠ ∠
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Angle Relationships $500$500
$500$500
Angle Relationships $500$500
What is the missing What is the missing angle measure?angle measure?
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Triangles $100$100
x˚
56˚49˚
What is the missing What is the missing angle measure?angle measure?
$100$100
Triangles $100$100
x˚
56˚49˚
75˚
56 + 49 + X = 180
105 + X = 180
X = 75
What is the missing What is the missing angle measure?angle measure?
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Triangles $200$200
What is the missing What is the missing angle measure?angle measure?
$200$200
Triangles $200$200
What is the missing What is the missing angle measure?angle measure?
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Triangles $300$300
$300$300
Triangles $300$300
101101
45
5656
124
Find the measure of Find the measure of angle M.angle M.
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Triangles $400$400
$$400
Triangles $400$400
x+5 + 2x-2 + 90 = 180
3x + 93 = 180
3x = 87
x = 29
So Angle M is 2(29) – 2 or 56 degrees
What is the missing angle What is the missing angle measure?measure?
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Triangles $500$500
$$500
Triangles $500$500
50
50 130
50
50
130
130
64 116
116
116
11664
64
66
66
Which rule proves that Which rule proves that these triangles are these triangles are
congruent?congruent?
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Congruent Triangles $100$100
Which rule proves that Which rule proves that these triangles are these triangles are
congruent?congruent?
$100$100
Congruent Triangles $100$100
side-angle-side
Which rule proves that Which rule proves that these triangles are these triangles are
congruent?congruent?
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Congruent Triangles $200$200
Which rule proves that Which rule proves that these triangles are these triangles are
congruent?congruent?
$200$200
Congruent Triangles $200$200
side-side-side
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Congruent Triangles $300$300Which rule proves that these triangles are congruent?
A.) angle-side-angleB.) side-side-angle C.) side-angle-sideD.) none of the above
-6-6
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Congruent Triangles $300$300Which rule proves that these triangles are congruent?
A.) angle-side-angleB.) side-side-angle C.) side-angle-sideD.) none of the above
-10 – (-4) – 3 -10 – (-4) – 3
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Congruent Triangles $400$400Which rule proves that these triangles are congruent?
A.) angle-side-angleB.) side-side-angle C.) side-angle-sideD.) none of the above
-9-9
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Congruent Triangles $400$400Which rule proves that these triangles are congruent?
A.) angle-side-angleB.) side-side-angle C.) side-angle-sideD.) none of the above
a = -9, b = 8, c = 1a = -9, b = 8, c = 1
b – a – cb – a – c
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Congruent Triangles $500$500Which rule proves that these triangles are congruent?
A.) angle-side-angleB.) side-side-angle C.) side-angle-sideD.) none of the above
1616
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Congruent Triangles $500$500Which rule proves that these triangles are congruent?
A.) angle-side-angleB.) side-side-angle C.) side-angle-sideD.) none of the above
A triangle has sides with A triangle has sides with lengths of 6 inches, 9 lengths of 6 inches, 9
inches and 14 inches. Is inches and 14 inches. Is it a right triangle?it a right triangle?
nextnext
Pythagorean Theorem $100$100
A triangle has sides with A triangle has sides with lengths of 6 inches, 9 lengths of 6 inches, 9
inches and 14 inches. Is inches and 14 inches. Is it a right triangle?it a right triangle?
No! the Pythagorean No! the Pythagorean Theorem doesn’t work. Theorem doesn’t work.
$100$100
Pythagorean Theorem $100$100
What is the length of the What is the length of the missing side?missing side?
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Pythagorean Theorem $200$200
What is the length of the What is the length of the missing side?missing side?
$300$300
Pythagorean Theorem $200$200
40 ft
Find the distance between Find the distance between the two points shown. the two points shown. Round to the nearest tenth.Round to the nearest tenth.
nextnext
Pythagorean Theorem $300$300
Find the distance between Find the distance between the two points shown. the two points shown. Round to the nearest tenth.Round to the nearest tenth.
4.2 units4.2 units
$100$100
Pythagorean Theorem $300$300
3
3
What is the length of the What is the length of the missing side?missing side?
nextnext
Pythagorean Theorem $400$400
What is the length of the What is the length of the missing side?missing side?
$400$400
Pythagorean Theorem $400$400
15 cm
Two joggers run 8 miles north Two joggers run 8 miles north and then 5 miles west. What is and then 5 miles west. What is
the shortest distance, to the the shortest distance, to the nearest tenth nearest tenth of a mile, they of a mile, they must travel to return to their must travel to return to their
starting point?starting point?
nextnext
Pythagorean Theorem $500$500
Two joggers run 8 miles north Two joggers run 8 miles north and then 5 miles west. What and then 5 miles west. What
is the shortest distance, to the is the shortest distance, to the nearest tenth nearest tenth of a mile, they of a mile, they must travel to return to their must travel to return to their
starting point?starting point?
9.4 miles9.4 miles
$500$500
Pythagorean Theorem $500$500
Find the volume of this figure. Find the volume of this figure. Round to the nearest tenth.Round to the nearest tenth.
nextnext
Volume $100 $100
Cylinder:Cylinder:
V = 3.14 x 5V = 3.14 x 522 x 7x 7
$100$100
Volume $100$100
549.5 yd3
Find the volume of this figure. Find the volume of this figure. Round to the nearest tenth.Round to the nearest tenth.
nextnext
Volume $200$200
CONE:CONE:
V = (1/3) x 3.14 x 4V = (1/3) x 3.14 x 422 x 7 x 7
$200$200
Volume $200$200
117.2 m3
Find the volume of this figure. Find the volume of this figure. Round to the nearest tenth.Round to the nearest tenth.
nextnext
Volume $300$300
CYLINDER:CYLINDER:
V = 3.14 x 8V = 3.14 x 822 x 4 x 4
803.8 m803.8 m33
nextnext
Volume $300$300
The soccer ball is 22 cm across The soccer ball is 22 cm across in diameter. Find its volume to in diameter. Find its volume to the nearest tenth.the nearest tenth.
nextnext
Volume $400$400
SPHERE: (radius is 11 cm)SPHERE: (radius is 11 cm)
V = (4/3) x 3.14 x V = (4/3) x 3.14 x 111133
5572.5 cm5572.5 cm3 3
$400$400
Volume $400$400
A cone has a height of 3.2 A cone has a height of 3.2 inches and a volume of inches and a volume of 53.59 cubic inches. 53.59 cubic inches.
Find the radius.Find the radius.
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Volume $500$500
Cone:Cone:
V = (1/3) x 3.14 x rV = (1/3) x 3.14 x r22 x h x h
53.59 = (1/3) x 3.14 x r53.59 = (1/3) x 3.14 x r22 x 3.2 x 3.2
53.59 = 3.35 x r53.59 = 3.35 x r22
16 = r16 = r22 … …so r = 4 inchesso r = 4 inches
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Volume $500$500
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FFinalinalJJeeooppaarrddyy
Today’s Category:Pythagorean Theorem
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In Mike’s basketball game he In Mike’s basketball game he ran 9 feet straight out from ran 9 feet straight out from under the basket. Then he under the basket. Then he
went left 4 feet before running went left 4 feet before running straight back to his original straight back to his original
spot under the basket. How far spot under the basket. How far did Mike travel? Round to the did Mike travel? Round to the
nearest tenth.nearest tenth.nextnext
Mike traveled a total of Mike traveled a total of 22.8 feet.22.8 feet.
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9 ft
4 ft
9.8 ft
GeometryGeometryGeometryGeometryJEOPARDYJEOPARDYJEOPARDYJEOPARDY
Thanks forThanks forPPLLAAYYIINNGG!!Thanks forThanks forPPLLAAYYIINNGG!!
Remember to study for the test!