Solution First, consider the information given in the image. You are given that ∠A≅∠D . You are given that ∠B≅∠E . You have two pairs of congruent angles. To use the ASA Congruence Theorem, you still need a pair of congruent sides between the congruent angles. Carefully consider the triangles in order to choose the side of each triangle that is between the given angles. In △ABC , AB is between the given angles. In △DEF , DE is between the given angles. Notice that the line segments were named so that the corresponding points match up. Point A corresponds to point D and point B corresponds to point E. You know this because of the congruent angles that are marked. If you knew that AB≅DE , then you would have enough information to state that △ABC≅△DEF by the ASA Congruence Theorem.
To show that AB ≅ DE, you need to use the information given in the image. Unfortunately, the image or any specific measurements of the triangles are not provided in the question. Can you please provide any additional information, measurements, or a clear illustration of the triangles?
