# Similar Figures

## Similar Figures

Two figures are similar if one is an enlargement, a reduction or a reproduction of the other.

### Symbol

The symbol used to represent the similarity between two figures is “∼”,
which means “is similar to”.

### Properties

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.

### Examples

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.