# Which triangles are similar by the angle-angle criterion for similarity of triangles?

A triangle is said to be similar to another triangle if the corresponding sides are in proportion to each other and the measures of corresponding angles are congruent.

## Answer: By AAA if two corresponding angles are congruent then the triangle is similar.

Let's explain in detail.

**Explanation:**

The similarity between two triangles can be represented using the symbol '~' and the angles can be represented congruent by using the symbol '≅'.

So, ∆ ABC ~ ∆ XYZ, if ∠ A ≅ ∠ X and ∠ B ≅ ∠ Y

Therefore, by the angle sum property of the triangle, the measure of the third angle will be congruent.

⇒ ∠ C ≅ ∠ Z