Practice Similar Figures in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Similar figures have the same shape with corresponding angles equal and corresponding sides proportional.
One figure is an enlarged or reduced copy of another—same shape, same angles, but possibly different size.
Example 1
easyTwo similar triangles have corresponding sides 6 cm and 10 cm. If the smaller triangle has a perimeter of 21 cm, find the perimeter of the larger triangle.
Example 2
hardRectangle ABCD \sim Rectangle EFGH with AB = 8, BC = 5, EF = 12. Find FG and the ratio of areas.
Example 3
easyTriangle PQR \sim Triangle STU. PQ = 4, ST = 6, QR = 7. Find TU.
Example 4
mediumTwo similar cones have base radii 3 cm and 7 cm. What is the ratio of their volumes?