Question

1. select the congruence theorem that proves the triangles are congruent: a. sas b. asa c. aas d. not enough information

Explanation:

Step1: Recall congruence theorems

• SAS (Side - Angle - Side): Two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.
• ASA (Angle - Side - Angle): Two angles and the included side of one triangle are equal to two angles and the included side of another triangle.
• AAS (Angle - Angle - Side): Two angles and a non - included side of one triangle are equal to two angles and the corresponding non - included side of another triangle.

Step2: Analyze the given figure

From the figure, we can see that there are two sides (marked with one cross each) and the included angle (marked with arcs) that are equal for the two triangles.

Answer:

A. SAS