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Grade 10 Math: Similarity Worksheet

This worksheet focuses on understanding and applying the concepts of similar figures, including triangles and polygons, at a Grade 10 level.

Grade 10 Math GeometrySimilarity
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSG.SRT.A.2CCSS.MATH.CONTENT.HSG.SRT.A.3

Topics

similaritygeometrygrade 10math
7 sections · Free to use · Printable
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Grade 10 Math: Similarity

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Date:

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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

Their corresponding sides are congruent.

b

Their corresponding angles are congruent.

c

Their areas are equal.

d

Their perimeters are equal.

2. Triangles ABC and XYZ are similar. If AB = 6, BC = 9, AC = 12, and XY = 4, what is the length of YZ?

a

6

b

8

c

9

d

12

3. Two polygons are similar if their corresponding angles are   and their corresponding sides are  .

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

5. Triangle DEF is similar to triangle GHI. If DE = 10 cm, EF = 15 cm, DF = 20 cm, and GH = 8 cm, find the lengths of HI and GI. Show your work.

6. All squares are similar.

T

True

F

False

7. All rectangles are similar.

T

True

F

False

8. Consider two similar triangles, ΔABC and ΔXYZ. If the ratio of their corresponding sides is 2:3, and the area of ΔABC is 24 cm², what is the area of ΔXYZ?

C A B Z X Y

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