Question

(1 point)
these two triangles are congruent. what theorem would apply to these two triangles?
sas congruence theorem
sas congruence theorem sss congruence theorem ssa congruence theorem aas congruence theorem

Explanation:

Step1: Identify congruent parts

We see two - side and included - angle congruent. In \(\triangle ABC\) and \(\triangle DEF\), we have two pairs of corresponding sides equal (marked with single and double hash marks) and the included angles between those sides equal (marked with arcs).

Step2: Recall congruence theorems

The SAS (Side - Angle - Side) congruence theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Answer:

SAS Congruence Theorem