Use the image to answer the question.An illustration shows two congruent triangles in different orientations. Three corresponding sides are marked as congruent.Are the triangles congruent? If so, write a congruence statement and reason why.(1 point)ResponsesNo, the triangles are not congruent.No, the triangles are not congruent.Yes, △ABC≅△LNM by the SSS Congruence Theorem.Yes, triangle upper A upper B upper C congruent to triangle upper L upper N upper M by the SSS Congruence Theorem.Yes, △ABC≅△LMN by the SSS Congruence Theorem.Yes, triangle upper A upper B upper C congruent to triangle upper L upper M upper N by the SSS Congruence Theorem.Yes, △ABC≅△MLN by the SSS Congruence Theorem.
1 answer
Yes, the triangles are congruent. The correct response is:
Yes, △ABC ≅ △LMN by the SSS Congruence Theorem.
The SSS (Side-Side-Side) Congruence Theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. In this case, since corresponding sides are marked as congruent, we can conclude that the triangles are congruent.
