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.
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Sample questions
- A figure has perimeter ___ cm. The scale factor to a larger figure is ___. Find its perimeter.
- A figure has area ___ cm². The scale factor to a larger figure is ___. Find its area.
- Corresponding sides of similar figures are ___ cm and ___ cm. Find the scale factor.
- The larger area is ___ cm² and the area ratio is ___. Find the smaller area.
- In similar triangles, ___ cm corresponds to ___ cm, while ___ cm corresponds to X. Find X.
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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