Is triangle ABC similar to triangle DEF?

No, because we don't know if the included angles are congruent.

No, because the corresponding sides are not proportional.

Josh claims that these triangles are similar by SSS. Do you agree or disagree with Josh?

Disagree, because all of the ratios for the corresponding sides are not equal.

Agree, because the triangles have a pair of congruent sides.

Agree, because all of the ratios for the corresponding sides are equal.

Disagree, because we cannot determine similarity without knowing the angle measures.

Determine if triangle VEZ is similar to triangle MAG.

No, because all of the angles are not congruent.

No, because the sides are not proportional.

Match the given triangle properties with the correct similarity theorem:

Two triangles have two sides proportional, and the included angle is congruent.

Two triangles have three sets of proportional sides but no given angles.

Two triangles have two corresponding angles congruent.

Two triangles have three congruent sides but different orientations.

Match each problem scenario with the correct similarity theorem or concept:

A ladder leans against a wall, forming two right triangles with the ground. The angle between the ladder and the ground is the same in both cases.

A model airplane is built to be exactly 1/50th the size of a real airplane, with all corresponding measurements proportional.

A computer-generated image of a triangle is resized using a scale factor of 1.5, increasing all side lengths proportionally while maintaining the same angle measures.

Two triangles are confirmed to be similar because their sides are in a ratio of 2:3, but the angles have not been verified.

A triangle is given where two sides of one triangle are proportional to two sides of another, and the included angles are congruent.

Dorchester-02-04-2025-Similar Triangles Assessment

Quiz

•

English, Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSG.SRT.A.2, HSG.SRT.B.5, HSG.SRT.B.4

+3

Standards-aligned

Antoinette Norris Woodson

Used 2+ times

FREE Resource

Tags

CCSS.HSG.CO.C.10

7.

MULTIPLE CHOICE QUESTION

15 mins • 4 pts

Mary claims that the triangles below are similar by angle-angle (AA). Do you agree or disagree with Mary?

Agree, because there are two pairs of congruent angles.

Disagree, because we can't determine if the sides are proportional.

Disagree, because the two given angles are not congruent.

Agree, because the triangles look similar.

Tags

CCSS.HSG.SRT.B.5

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Dorchester-02-04-2025-Similar Triangles Assessment

23 questions

Triangles EFG and RST are similar. FG:ST = 3:12, and RS = 156, what is the length of EF?Upload a pic of your work.

Triangles JKL and PQR are similar. The length of the sides of JKL are 5x - 155, x + 47, and x + 71. The perimeter of JKL is 306. The length of the longest side of PQR is 151 + x, what is the perimeter of PQR?Upload a pic of your work.

Triangles HIJ and OPQ are similar. The length of the sides of HIJ are 79x - 6, 76 + 2x, and 154 + x. The perimeter of HIJ is 388. The length of the smallest side of OPQ is 190 + 5x, what is the length of the longest side of OPQ?Upload a pic of your work.

Triangles FGH and OPQ are similar. FH:OQ = 7:11, and OP = 385, what is the length of FG?Upload pic of your work.

A tree 37 1/2 feet tall casts a shadow 80 feet long. Brad is 3 3/4 feet tall. How long is Brad's shadow?Upload pic of your work.

In right ABC, is the altitude to hypotenuse . If DB = 7 and AD = 8, find CD.

Mary claims that the triangles below are similar by angle-angle (AA). Do you agree or disagree with Mary?

Is triangle ABC similar to triangle DEF?

Josh claims that these triangles are similar by SSS. Do you agree or disagree with Josh?

Conclude whether triangle BEN is similar to triangle MAT.

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Discover more resources for English

Triangles EFG and RST are similar. FG:ST = 3:12, and RS = 156, what is the length of EF?
Upload a pic of your work.

Triangles JKL and PQR are similar. The length of the sides of JKL are 5x - 155, x + 47, and x + 71. The perimeter of JKL is 306. The length of the longest side of PQR is 151 + x, what is the perimeter of PQR?
Upload a pic of your work.

Triangles HIJ and OPQ are similar. The length of the sides of HIJ are 79x - 6, 76 + 2x, and 154 + x. The perimeter of HIJ is 388. The length of the smallest side of OPQ is 190 + 5x, what is the length of the longest side of OPQ?
Upload a pic of your work.

Triangles FGH and OPQ are similar. FH:OQ = 7:11, and OP = 385, what is the length of FG?
Upload pic of your work.

A tree 37 1/2 feet tall casts a shadow 80 feet long. Brad is 3 3/4 feet tall. How long is Brad's shadow?
Upload pic of your work.