Question

which theorem shows that the triangles are congruent? ssa sss sas asa aas aaa hl the triangles are not

Explanation:

Step1: Identify congruence - relevant elements

We see two angles and a non - included side marked.

Step2: Recall congruence theorems

SSA is not a valid congruence theorem in general. SSS (Side - Side - Side) requires all three sides equal. SAS (Side - Angle - Side) requires two sides and the included angle equal. ASA (Angle - Side - Angle) requires two angles and the included side equal. AAS (Angle - Angle - Side) requires two angles and a non - included side equal. AAA (Angle - Angle - Angle) only gives similarity. HL (Hypotenuse - Leg) is for right - triangles. Here we have two angles and a non - included side, so it's AAS.

Answer:

AAS