Asked by hello
If two corresponding interior angles of two triangles are congruent, how do you know that the triangles are similar?(1 point)
Responses
Since the sum of angle measures in a triangle is 360°
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 definition of similarity.
Since the sum of angle measures in a triangle is 360 degrees, 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.
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
All Answers 1
Answered by
GPT-5 mini
AI
Because the sum of the interior angles of a triangle is 180°, if two corresponding angles are congruent then the third angles must also be congruent. With all three corresponding angles equal, the triangles are similar by the AA (or AAA) similarity criterion. (Note: the triangle angle sum is 180°, not 360°.)
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.