Similar Triangles Answers

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1
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The triangles below are similar. Which similarity statements describe the relationship between the two triangles? Check all that apply.

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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
2
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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
3

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
6

best

Question illustration
A
Accurate. The triangles are similar and the congruent angles are listed in corresponding order.
I
Inaccurate. The triangles are not similar because the sum of the angles in each triangle is not 180º.
I
Inaccurate. The triangles are similar, but the triangles are named incorrectly. The vertices are listed out of corresponding order.
I
Inaccurate. The triangles are not similar because angle M is not congruent to angle H, and angle N is not congruent to angle G.
7

Mikel is determining if the two triangles below could be similar based on their side lengths. Which statements accurately describe the triangles? Check all that apply.

Question illustration
A
The common ratio between the triangles is 3 because .
Option A
B
The common ratio between the triangles is 2.5 because .
Option B
C
The triangles could be similar.
D
The triangles could not be similar.
E
The ratios of the side lengths are not consistent.
F
The ratios of the side lengths are consistent.
8

Westin is comparing the triangles below. He uses the similarity statement . Which best describes the accuracy of Westin’s statement?

Question illustration
A
Accurate. HG and LJ are proportional.
B
Inaccurate. HG and LJ are not corresponding sides.
C
Inaccurate. The sides are not proportional. There is no common ratio between the sides.
D
Inaccurate. The angles in the order listed do not correspond.
9

best

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

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