Question

Which of the following can be used to prove that two triangles are similar?

Answer 1

AA

Explanation:

The AA Similarity Theorem states:
In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar

Two similar triangles have to have all equal angles, but their sides do not necessarily need to be equal. Therefore, when we see that two angles of a triangle are equal to two angles of another triangle, we can determine that they are congruent

`uarr` These two triangles are similar because they have two pairs corresponding equal angles.

Two of the other options (SSS and SAS) are proofs for congruent triangles (meaning that their sides and angles are all the same). The last option (AS) is made up. It is not a real postulate.