given the following image, the triangles are congruent by the sss theorem congruent by the sas theorem…

given the following image, the triangles are congruent by the sss theorem congruent by the sas theorem congruent by the asa theorem congruent by the aas theorem congruent by the hl theorem not congruent

given the following image, the triangles are congruent by the sss theorem congruent by the sas theorem congruent by the asa theorem congruent by the aas theorem congruent by the hl theorem not congruent

Answer

Explanation:

Step1: Identify congruence - relevant elements

We see two angles and the included side are marked as equal.

Step2: Recall congruence theorems

The ASA (Angle - Side - Angle) theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent.

Answer:

congruent by the ASA theorem