Use the image to answer the question. Are the triangles congruent? If so, write a congruence statement and reason why. (1 point) Responses Yes, △ABC≅△MLN by the SSA Congruence Theorem. Yes, triangle upper A upper B upper C congruent to triangle upper M upper L upper N by the SSA Congruence Theorem. Yes, △ABC≅△NLM by the SSA Congruence Theorem. Yes, triangle upper A upper B upper C congruent to triangle upper N upper L upper M by the SSA Congruence Theorem. No, the triangles are not necessarily congruent. No, the triangles are not necessarily congruent. Yes, △ABC≅△LMN by the SSA Congruence Theorem.

1 answer

The correct response is: No, the triangles are not necessarily congruent.

The SSA (Side-Side-Angle) condition does not guarantee triangle congruence. This is known as the "Ambiguous Case" in triangle congruence. Thus, without additional information, we cannot conclude that the triangles are congruent based solely on the SSA condition.