Question

problem 11: (first taught in lesson 33) select which shortcut can be used to prove that this pair of triangles are congruent. if no method applies, choose “none.” a b c d e angle - angle - side

Explanation:

Step1: Identify congruence shortcuts

There are several triangle congruence shortcuts like SSS (Side - Side - Side), SAS (Side - Angle - Side), ASA (Angle - Side - Angle), AAS (Angle - Angle - Side), and HL (Hypotenuse - Leg for right - triangles).

Step2: Check given information

We are given the option of AAS but have no clear indication from the image about the congruent angles and side. We need to see marked congruent parts on the triangles to apply a congruence shortcut.

Answer:

We need more information about the triangles (such as marked congruent parts) to determine if Angle - Angle - Side (AAS) or another congruence shortcut applies. As it stands, we cannot definitively say if AAS is correct or if there is a different method or none at all. If we assume we have two pairs of congruent angles and a non - included side congruent based on the figure (which is not clearly shown in the provided image), then the answer could be AAS. But without proper markings or details, we cannot give a conclusive answer.