# Homothetic Triangles

## Homothetic Triangles

Triangles are homothetic if one can fit exactly over the other by a dilation.

### Properties

• In homothetic triangles, the corresponding sides have proportional lengths and their corresponding angles are congruent.
• Homothetic triangles are similar triangles, but not all similar triangles are necessarily homothetic.

### Example

In the figure below, the triangles ABC and A’B’C’ are homothetic, as there is a dilation of centre O that maps one to the other.