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.