Question

Which statement best describes the relationship between the triangles?

1. The triangles are similar because they have 3 pairs of congruent angles.
2. The triangles are not similar because they do not have 3 pairs of congruent angles.
3. The triangles are similar because they have 1 pair of congruent angles.
4. There is not enough information to determine whether the triangles are similar.

Answer 1

The correct statement is: 1. The triangles are similar because they have 3 pairs of congruent angles.

In similar triangles, corresponding angles are congruent. If there are three pairs of congruent angles, then the triangles are similar.

This is known as the Angle-Angle-Angle (AAA) similarity criterion, stating that if the corresponding angles of two triangles are congruent, then the triangles are similar.