Question

Which theorem shows that △ABC ≅ △DEF?There

are two triangles, triangle ABC and triangle DEF. Side AB is congruent
to side DE, side AC is congruent to side DF, side BC is congruent to
side EF.


A. The triangles are not congruent.

B. SAS Triangle Congruence Theorem

C. Isosceles Triangle Theorem

D. SSS Triangle Congruence Theorem

Answer 1

The SSS Triangle Congruence Theorem proves that triangle ABC is congruent to triangle DEF, as all three corresponding sides are congruent.

Step-by-step explanation:

The theorem that shows that triangle ABC is congruent to triangle DEF when side AB is congruent to side DE, side AC is congruent to side DF, and side BC is congruent to side EF is the SSS Triangle Congruence Theorem. According to this theorem, if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. Therefore, the correct answer is D. SSS Triangle Congruence Theorem.

Answer 2

D

Step-by-step explanation:

The correct answer is D. The SSS Triangle Congruence Theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. In the given situation, triangle ABC and triangle DEF are congruent because all three sides of triangle ABC are congruent to the corresponding sides of triangle DEF.