Question

unit 4 test review
which theorem shows that the following triangles are congruent?
a the triangles are not congruent
b isosceles triangle theorem
c aas triangle congruence theorem
d sss triangle congruence theorem
possible points: 2.78
1 of 36

Explanation:

Step1: Identify congruence - relevant markings

The figure shows two triangles with corresponding sides marked as equal.

Step2: Recall congruence theorems

SSS (Side - Side - Side) theorem states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent. Here, we have three pairs of equal sides.

Step3: Analyze other options

AAS (Angle - Angle - Side) requires two angles and a non - included side, not applicable as no angles are given. Isosceles triangle theorem is about properties of isosceles triangles, not for proving congruence here. And we know the triangles are congruent, so the option saying they are not is wrong.

Answer:

D. SSS Triangle Congruence Theorem