The triangles are similar because all three corresponding interior angles are congruent. According to the Angle-Angle (AA) similarity criterion, if two angles in one triangle are congruent to two angles in another triangle, the third angles must also be congruent (since the sum of the angles in a triangle is always 180 degrees). Therefore, the triangles are similar by the definition of similarity.
Based on the info given in the picture, how do you know that the triangles are similar?
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Responses
Since two corresponding interior angles are congruent, the sides opposite the angles are congruent. The remaining pair of sides must also be congruent. So the triangles are similar by the SAS criterion.
Since two corresponding interior angles are congruent, the sides opposite the angles are congruent. The remaining pair of sides must also be congruent. So the triangles are similar by the SAS criterion.
We know that the sum of the measures of the angles in a triangle is 360 degrees, so the 3rd angle pair must have the same measure and therefore are congruent. Because all three corresponding interior angles of the triangle are congruent, the triangles are similar by the definition of similarity.
We know that the sum of the measures of the angles in a triangle is 360 degrees, so the 3rd angle pair must have the same measure and therefore are congruent. Because all
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