Similar Figures Worksheet

Grade 7 Math worksheet on similar figures, including identifying similar shapes, finding missing side lengths, and understanding scale factors.

Grade 7 Math GeometrySimilar Figures

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.7.G.A.2CCSS.MATH.CONTENT.7.G.A.1

Topics

mathgeometrysimilar figuresgrade 7

7 sections · Free to use · Printable

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Similar Figures: Grade 7 Math

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Read each question carefully and answer to the best of your ability. Show all your work for problems requiring calculations.

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

They have the same size and shape.

They have the same shape but different sizes.

They have different shapes but the same size.

They have different shapes and different sizes.

2. If two triangles are similar, their corresponding angles are:

Congruent

Proportional

Supplementary

Complementary

3. The ratio of corresponding side lengths in similar figures is called the .

4. If two figures are similar, their corresponding angles are and their corresponding sides are .

5. Triangle ABC has side lengths of 6 cm, 8 cm, and 10 cm. Triangle DEF is similar to Triangle ABC and its shortest side is 9 cm. What are the lengths of the other two sides of Triangle DEF?

6. A photograph is 4 inches wide and 6 inches long. If you enlarge the photograph so that its width is 10 inches, what will be the new length?

7. All squares are similar figures.

True

False

8. All rectangles are similar figures.

True

False

9. The two rectangles below are similar. Find the missing side length 'x'.

10. Triangle PQR is similar to Triangle XYZ. If PQ = 12, QR = 15, PR = 9, and XY = 8, find the lengths of YZ and XZ.