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Similar Polygons Worksheet

Grade 11 Math worksheet covering similar polygons, scale factors, and corresponding parts.

Grade 11 Math GeometrySimilar Polygons
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Includes

Multiple Choice2 Short AnswerFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSG.SRT.A.2CCSS.MATH.CONTENT.HSG.SRT.B.5
7 sections · Free to use · Printable
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Similar Polygons Worksheet

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. Which of the following statements is true about similar polygons?

a

Corresponding sides are congruent.

b

Corresponding angles are congruent.

c

Both corresponding sides and angles are congruent.

d

Corresponding sides are proportional and corresponding angles are congruent.

2. If two polygons are similar with a scale factor of 3:1, what is the ratio of their areas?

a

3:1

b

1:3

c

9:1

d

1:9

3. Two rectangles are similar. The first rectangle has a length of 10 cm and a width of 5 cm. The second rectangle has a length of 20 cm. What is the width of the second rectangle?

10 cm5 cm20 cmx cm

4. Triangle ABC is similar to Triangle DEF. If AB = 6, BC = 8, AC = 10, and DE = 9, find the lengths of EF and DF.

ACB6810DFE9yz

5. If two polygons are similar, their corresponding angles are   and their corresponding sides are  .

6. The ratio of the perimeters of two similar polygons is equal to the  .

7. All squares are similar.

T

True

F

False

8. All rectangles are similar.

T

True

F

False

9. A rectangular swimming pool is 25 meters long and 10 meters wide. A smaller similar pool is to be built with a length of 15 meters. What will be the width of the smaller pool?