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.
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Grade 10 Math: Similarity
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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?
Their corresponding sides are congruent.
Their corresponding angles are congruent.
Their areas are equal.
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?
6
8
9
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.
True
False
7. All rectangles are similar.
True
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?