## Similar Triangles

Objects, such as these two cats, that have the same shape, but do not necessarily have the same size, are said to be “**similar**“.

The mathematical symbol used to denote similar is **~**.

**Definition:** In mathematics, polygons are similar if their corresponding (matching) angles are congruent (equal in measure) and the ratio of their corresponding sides are in proportion.

(This definition allows for congruent figures to also be “**similar**“, where the ratio of the corresponding sides is 1:1.)