Topics
6. Polygons
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United States of AmericaVirginia
Grade 7

6.02 Identify similar figures

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the following shapes:

Two parallelograms are depicted side by side. The one on the left has an angle at its bottom left corner labeled as 78 degrees and the length of its top side is 15 units. All sides are marked with single hashmarks. The one on the right has an angle at its bottom left corner labeled as 71 degrees and the length of its top side is 31 units. All sides are marked with double hashmarks.

a

Are the two shapes similar?

Yes

A

No

B
b

Give a reason for your answer.

All sides are in the same ratio but not all matching angles are equal.

A

All matching angles are not equal and all sides are not in the same ratio

B

All matching angles are equal but all sides are not in the same ratio

C
Medium
< 1min

In the diagram, a smaller rectangle is inscribed within a larger rectangle with dimensions as given.

Medium
1min

Which of these triangles are similar?

Medium
< 1min

Consider the following triangles:

Medium
< 1min
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Outcomes

7.MG.2

The student will solve problems and justify relationships of similarity using proportional reasoning.

7.MG.2c

Given two similar quadrilaterals or triangles, write similarity statements using symbols.

7.MG.2d

Write proportions to express the relationships between the lengths of corresponding sides of similar quadrilaterals and triangles.

7.MG.2e

Recognize and justify if two quadrilaterals or triangles are similar using the ratios of corresponding side lengths.

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