AnswersCR CCSS Math 2 S2 M2960OXRight Triangle Similarity

Week 9: Similar Triangles Answers

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The triangles shown are similar. Which similarity statement expresses the relationship between the two triangles?

Question illustration
A
Triangle P R Q is similar to Triangle X W Y
Option A
B
Triangle P R Q is congruent to Triangle X W Y
Option B
C
Triangle P Q R is similar to Triangle W X Y
Option C
D
Triangle P Q R is congruent to triangle W X Y
Option D
2
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Shelly states that the triangles below are similar. Which proportion supports her statement?

Question illustration
A
StartFraction 8 Over 4 EndFraction = StartFraction 15 Over 10 EndFraction
Option A
B
StartFraction 8 Over 10 EndFraction = StartFraction 4 Over 20 EndFraction
Option B
C
StartFraction 6 Over 4 EndFraction = StartFraction 20 Over 10 EndFraction
Option C
D
StartFraction 8 Over 6 EndFraction = StartFraction 20 Over 15 EndFraction
Option D
3

The triangles shown are similar. Which side of triangle JGH corresponds to side PM of triangle PMO?

Question illustration
A
GH
B
JG
C
HJ
D
OP
4

Lorie correctly determines that for the triangles below, the statement and the statement both describe the relationship between the two triangles. Which best describes why both similarity statements are correct?

Question illustration
A
Each triangle has two congruent angles: and .
Option A
B
Each triangle has two similar angles: and .
Option B
C
The triangles each have two given angle measures and one unknown angle measure.
D
All statements, regardless of the order of the vertices, define the same triangles.
5

Which best explains the relationship between the two triangles below?

Question illustration
A
because , , and .
Option A
B
because , , and .
Option B
C
is not similar to because is not congruent to .
Option C
D
is not similar to because , , and .
Option D
6

The triangles below are similar.Which similarity statement expresses the relationship between the two triangles?

Question illustration
A
Triangle X Y Z is similar to Triangle Q R S
Option A
B
Triangle X Y Z is similar to Triangle R Q S
Option B
C
Triangle Z X Y is similar to triangle Q S R
Option C
D
Triangle Z X Y is similar to triangle Q R S
Option D
7

The two triangles below are similar. What is the ratio of the corresponding side lengths?

Question illustration
A
4:9
B
4:2
C
26:26
D
4.5:2
8

Kelsey uses the similarity statement to describe the triangles below.Which best describes the accuracy of her statement?

Question illustration
A
Accurate. Each pair of sides corresponds with a common ratio of 2.
B
Accurate. The description of each triangle begins at the same vertex.
C
Inaccurate. In the order listed, the ratio between each pair of sides is different.
D
Inaccurate. The description of the triangles in the similarity statement moves clockwise in one triangle and counterclockwise in the other triangle.
9

The triangles below are similar. Which similarity statements describe the relationship between the two triangles? Check all that apply.

Question illustration
A
Triangle P R S is similar to triangle X Y Z
Option A
B
Triangle R S P is similar to triangle Z X Y
Option B
C
Triangle S R P is similar to triangle X Z Y
Option C
D
Triangle P S R is similar to Triangle Z Y X
Option D
E
Triangle R P S is similar to triangle Z Y X
Option E
F
Triangle S P R is similar to triangle X Z Y
Option F
10

Julia examines the two triangles below and determines that . Which best describes the accuracy of Julia’s solution?

Question illustration
A
Accurate. The triangles are similar and the congruent angles are listed in corresponding order.
B
Inaccurate. The triangles are not similar because the sum of the angles in each triangle is not 180º.
C
Inaccurate. The triangles are similar, but the triangles are named incorrectly. The vertices are listed out of corresponding order.
D
Inaccurate. The triangles are not similar because angle M is not congruent to angle H, and angle N is not congruent to angle G.

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