Similar Figures Worksheet

This worksheet focuses on understanding and applying the properties of similar figures, including triangles and polygons, at a Grade 11 level. Students will solve problems involving scale factors, missing side lengths, and angle measures.

Grade 11 Math GeometrySimilar Figures

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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseLong Answer

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 Figures Review

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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 figures?

Their corresponding angles are proportional.

Their corresponding sides are congruent.

Their corresponding angles are congruent.

Their areas are equal.

2. If two triangles are similar, and the ratio of their corresponding sides is 2:3, what is the ratio of their areas?

2:3

4:9

8:27

1:1

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

4. The ratio of the perimeters of two similar figures is equal to the of their corresponding sides.

5. Triangle ABC is similar to Triangle DEF. If AB = 6 cm, BC = 8 cm, AC = 10 cm, and DE = 9 cm, find the lengths of EF and DF. Draw both triangles and label their sides.

6. All squares are similar figures.

True

False

7. A rectangular photograph measures 4 inches by 6 inches. If it is enlarged to create a similar photograph with the longer side measuring 15 inches, what is the length of the shorter side of the enlarged photograph?