If two corresponding interior angles of two triangles are congruent, how do you know that the triangles are similar?(1 point)

Question

Responses

Since two corresponding interior angles are congruent, the sides opposite the angles are congruent. The remaining pair of sides must also be congruent. The triangles are similar by SSS criterion.
Since two corresponding interior angles are congruent, the sides opposite the angles are congruent. The remaining pair of sides must also be congruent. The triangles are similar by SSS criterion.

Since two corresponding interior angles are congruent, the sides opposite the angles are congruent. The triangles are similar by SAS criterion.
Since two corresponding interior angles are congruent, the sides opposite the angles are congruent. The triangles are similar by SAS criterion.

Since the sum of angle measures in a triangle is 360° , the third angle pair must have the same measure and are thus congruent. Because all three corresponding interior angles of the triangle are congruent, the triangles are similar by the def
Since the sum of angle measures in a triangle is 360° , the third angle pair must have the same measure and are thus congruent. Because all three corresponding interior angles of the triangle are congruent, the triangles are similar by the def

Since the sum of angle measures in a triangle is 180° , the third angle pair must have the same measure and are thus congruent. Because all three corresponding interior angles of the triangle are congruent, the triangles are similar by the definition of similarity.

Answer 1

The correct response is:

Since the sum of angle measures in a triangle is 180°, the third angle pair must have the same measure and are thus congruent. Because all three corresponding interior angles of the triangle are congruent, the triangles are similar by the definition of similarity.

This is based on the principle that if two angles of one triangle are congruent to two angles of another triangle, the third angles must also be congruent, leading to the conclusion that all three angles are congruent, which satisfies the condition for triangle similarity (AA criterion).