Question

which theorem shows that △abc≅△def?
a. the triangles are not congruent.
b. sas triangle congruence theorem
c. isosceles triangle theorem
d. sss triangle congruence theorem

Explanation:

Step1: Recall triangle congruence theorems

SSS (Side - Side - Side) congruence theorem states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Step2: Analyze the given triangles

In \(\triangle ABC\) and \(\triangle DEF\), we can see that the markings on the sides indicate that the three sides of \(\triangle ABC\) are equal to the three sides of \(\triangle DEF\).

Answer:

D. SSS Triangle Congruence Theorem