Question

given the triangles below with sides and angles as marked.
select the postulate or theorem that proves these triangles are congruent.
side side side congruence postulate
angle side angle congruence postulate
side angle side congruence postulate
angle angle side congruence theorem
these triangles are not congruent.
hypotenuse leg congruence theorem

Explanation:

Step1: Recall congruence postulates

The Side - Side - Side (SSS) Congruence Postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Step2: Analyze the given triangles

In the problem, the markings on the sides of the two triangles indicate that all three corresponding sides are congruent. So, by the SSS postulate, the triangles are congruent.

Answer:

Side Side Side Congruence Postulate