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Similar Triangles Answers

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The triangles shown are similar. Which side of triangle PQR corresponds to side LN in triangle MNL?

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A
RQ
B
PQ
C
PR
D
LM
2
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Daniela examines the two triangles below and determines .Which best describes the accuracy of Daniela’s solution?

Question illustration
A
Accurate. The triangles are similar and the congruent angles are listed in corresponding order.
B
Inaccurate. In her statement, the corresponding vertices are written in the incorrect order.
C
Inaccurate. There is only one pair of congruent angles, so no statement can be made on the similarity of the triangles.
D
Inaccurate. The triangles are not similar because angle D is not congruent to angle R.
3

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.
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

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

Question illustration
A
Triangle F G H is similar to Triangle K L J
Option A
B
Triangle F G H is congruent to Triangle K L J
Option B
C
Triangle F G H is similar to triangle J K L
Option C
D
Triangle F G H is similar to triangle J K L
Option D

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