Two figures are similar if one is an enlargement, a reduction or a reproduction of the other.
The symbol used to represent the similarity between two figures is “∼”,
which means “is similar to”.
Two similar figures are figures in which:
- corresponding angles have the same measure;
- the ratios of the lengths of their corresponding sides are equal.
The ratio of the length of a segment in the original figure to the length of the corresponding segment in the image is called the ratio of similarity of the two figures.
These figures are similar.
Congruent figures are similar figures.
- All squares are similar figures.
- All circles are similar figures.
- All segments are similar figures.
- All isosceles right triangles are similar figures.