Question

which theorem shows that △abc≅△def? o sas triangle congruence theorem o isosceles triangle theorem o sss triangle congruence theorem o the triangles are not congruent

Explanation:

The congruence of two triangles can be determined by several theorems. SSS (Side - Side - Side) means that if the three sides of one triangle are equal to the three corresponding sides of another triangle, the triangles are congruent. In the given triangles, we can see that the three pairs of corresponding sides are marked as equal. SAS (Side - Angle - Side) requires two sides and the included angle to be equal. The Isosceles Triangle Theorem is about the properties of isosceles triangles and not a congruence theorem for general triangle - congruence here. Since all three sides of $\triangle ABC$ and $\triangle DEF$ are equal as per the markings, we use SSS.

Answer:

C. SSS Triangle Congruence Theorem