Similar Figures Worksheet
Explore properties of similar figures, including ratios of sides, perimeters, and areas, with this Grade 9 math worksheet.
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Similar Figures Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. Which of the following statements is true about similar figures?
Their corresponding sides are congruent.
Their corresponding angles are congruent.
Their areas are equal.
Their perimeters 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
3:2
9:4
3. If two polygons are similar, then the ratio of their perimeters is equal to the ratio of their .
4. For two similar figures, their corresponding angles are .
5. 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?
6. Triangle ABC is similar to Triangle DEF. If AB = 6, BC = 8, AC = 10, and DE = 9, what are the lengths of EF and DF?
7. All squares are similar.
True
False
8. All rectangles are similar.
True
False
Match each term with its definition.
9. Similar Figures
a. Figures with the same shape but different sizes.
10. Scale Factor
b. The ratio of corresponding side lengths of similar figures.
11. Congruent Figures
c. Figures with the same shape and same size.