Question

which postulate or theorem proves triangle abc is congruent to triangle edc? (1 point)
sss congruence postulate
sas congruence postulate
hl congruence theorem
asa congruence postulate

Explanation:

Step1: Identify congruent parts

From the figure, we can see that two - pairs of sides are marked as congruent. Also, the vertical angles at point C are congruent.

Step2: Recall congruence postulates

The Side - Angle - Side (SAS) congruence postulate 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. Here, we have two pairs of congruent sides and the included angles (vertical angles) are congruent.

Answer:

SAS Congruence Postulate