Answers FL-1205070-MJ Grade 8 Pre-Algebra Summer 2026Similar Triangles

Similar Triangles Answers

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

Triangle P R S is similar to triangle X Y Z

Triangle R S P is similar to triangle Z X Y

Triangle S R P is similar to triangle X Z Y

Triangle P S R is similar to Triangle Z Y X

Triangle R P S is similar to triangle Z Y X

Triangle S P R is similar to triangle X Z Y

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Which best explains the relationship between the two triangles below?

because , , and .

is not similar to because is not congruent to .

is not similar to because , , and .

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

Triangle X Y Z is similar to Triangle Q R S

Triangle X Y Z is similar to Triangle R Q S

Triangle Z X Y is similar to triangle Q S R

Triangle Z X Y is similar to triangle Q R S

What is the measure of the third angle in the similar triangles below?

25º

65º

85º

115º

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

best

Accurate. The triangles are similar and the congruent angles are listed in corresponding order.

Inaccurate. The triangles are not similar because the sum of the angles in each triangle is not 180º.

Inaccurate. The triangles are similar, but the triangles are named incorrectly. The vertices are listed out of corresponding order.

Inaccurate. The triangles are not similar because angle M is not congruent to angle H, and angle N is not congruent to angle G.

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.

The common ratio between the triangles is 3 because .

The common ratio between the triangles is 2.5 because .

The triangles could be similar.

The triangles could not be similar.

The ratios of the side lengths are not consistent.

The ratios of the side lengths are consistent.

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

Accurate. HG and LJ are proportional.

Inaccurate. HG and LJ are not corresponding sides.

Inaccurate. The sides are not proportional. There is no common ratio between the sides.

Inaccurate. The angles in the order listed do not correspond.

best

Accurate. Each pair of sides corresponds with a common ratio of 2.

Accurate. The description of each triangle begins at the same vertex.

Inaccurate. In the order listed, the ratio between each pair of sides is different.

Inaccurate. The description of the triangles in the similarity statement moves clockwise in one triangle and counterclockwise in the other triangle.

Using side lengths only, could the triangles be similar?

No, .

Yes, .

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

Triangle P R S is similar to triangle X Y Z

Triangle R S P is similar to triangle Z X Y

Triangle S R P is similar to triangle X Z Y

Triangle P S R is similar to Triangle Z Y X

Triangle R P S is similar to triangle Z Y X

Triangle S P R is similar to triangle X Z Y

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

Triangle P R Q is similar to Triangle X W Y

Triangle P R Q is congruent to Triangle X W Y

Triangle P Q R is similar to Triangle W X Y

Triangle P Q R is congruent to triangle W X Y

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

Accurate. HG and LJ are proportional.

Inaccurate. HG and LJ are not corresponding sides.

Inaccurate. The sides are not proportional. There is no common ratio between the sides.

Inaccurate. The angles in the order listed do not correspond.

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

Triangle C B A is similar to triangle F E D

Triangle C B A is similar to triangle F D E

Triangle B A C is similar to triangle E F D

Triangle B A C is similar to triangle E D F

Triangle A B C is similar to triangle D E F

Triangle A B C is similar to triangle D F E

Which statements about the relationship between the two triangles below are true? Check all that apply.

Angle C is congruent to angle T

Angle C is congruent to angle S

Angle D is congruent to angle T

Triangle D C A is congruent to triangle T S R

Triangle D C A is similar to triangle T S R

Triangle C A D is similar to triangle T R S

Triangle C A D is congruent to triangle T R S

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?