LT

Test: Similar figures

This test applies the properties of similar figures and the scale factor. Tasks involve corresponding sides, perimeters and areas and develop understanding that areas change by the square of the scale factor.

Question qty: 10
Duration in minutes: 17
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Sample questions

  • Similar figures have perimeters p1 cm and p2 cm. What is their area ratio?
  • In similar triangles, a cm corresponds to c cm, while b cm corresponds to X. Find X.
  • Corresponding sides of similar figures are a cm and b cm. Find the scale factor.
  • A figure has area s cm². The scale factor to a larger figure is k. Find its area.
  • Which statement describes similar figures?
  • The larger area is s cm² and the area ratio is k2. Find the smaller area.
  • Corresponding sides of two similar figures are 4 cm and 12 cm. Compare their areas.
  • A figure has perimeter p cm. The scale factor to a larger figure is k. Find its perimeter.

Similar figures

Corresponding angles of similar figures are equal and corresponding sides are proportional. The scale factor k is the ratio of a new corresponding length to the original one.

Length, area and volume

Lengths scale by k, areas by k² and volumes of similar solids by k³. Match corresponding vertices and sides correctly and write every side ratio in the same direction. Triangle similarity can be established using equal angles or proportional sides.

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