# Definition:Similar Triangles

## Definition

Similar triangles are triangles whose corresponding angles are the same, but whose corresponding sides may be of different lengths.

Thus $\triangle ABC$ is similar to $\triangle DEF$:

- $\angle ABC = \angle EFD$
- $\angle BCA = \angle EDF$
- $\angle CAB = \angle DEF$

## Also see

- Equiangular Triangles are Similar
- Triangles with Two Equal Angles are Similar (a stronger result)

- The general definition of Similar Figures