Topics
9. Dilations & Similarity
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United States of America
Grade 8

9.01 Identify similar polygons

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the following triangles:

a

Which of these triangles are similar?

A triangle is depicted with its interior angles labeled at each vertex: 55 degrees at the top vertex with a single arc, 53 degrees at the bottom left vertex with a double arc, and 72 degrees at the bottom right vertex with a triple arc. The side between the 55-degree and 53-degree angles is labeled with a length of 4 units.

A

A triangle is depicted with its interior angles labeled at each vertex: 55 degrees at the top vertex with a single arc, 70 degrees at the bottom left vertex with a double arc, and 55 degrees at the bottom right vertex with a triple arc. The side between the 55-degree and 55-degree angles is labeled with a length of 8 units.

B

A triangle is depicted with its interior angles labeled at each vertex: 72 degrees at the top vertex with a single arc, 38 degrees at the bottom left vertex with a double arc, and 70 degrees at the bottom right vertex with a triple arc. The side between the 72-degree and 70-degree angles is labeled with a length of 4 units.

C

A triangle is depicted with its interior angles labeled at each vertex: 55 degrees at the top vertex with a single arc, 70 degrees at the bottom left vertex with a double arc, and 55 degrees at the bottom right vertex with a triple arc. The side between the 55-degree and 55-degree angles is labeled with a length of 32 units.

D
b

Give a suitable reason for their similarity.

All corresponding angles are equal.

A

Two angles are equal and one side is a multiple of the corresponding side of the other.

B

All corresponding sides are in the same ratio.

C
Easy
< 1min

Consider the following shapes:

Easy
< 1min

Consider the two similar triangles.

Easy
1min

Which pair of triangles are similar?

Medium
< 1min
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Outcomes

8.G.A.4

Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.

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