Question

You are given two triangles and the information that the three pairs of corresponding angles are congruent. What other information do you need to have to conclude that the triangles are similar?

Answer 1

When you prove a triangle is congruent to another, it can help you prove parts of the triangle congruent by checking the ratio between all sides and angles.

Answer 2

Answer: There is no other information is required to prove them similar.

Explanation:

• AAA (angle-angle-angle) similarity criteria says that if two triangles have their corresponding angles congruent or equal then the triangles are similar.

If we have given two triangles and the information that the three pairs of corresponding angles are congruent.

Then both triangles are similar by AAA similarity criteria .

Hence, there is no other information is required to prove them similar.