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

1 answer

Based on the options provided, the correct answer would be:

No, the triangles are not necessarily congruent.

The reason for this is that the SSA (Side-Side-Angle) Congruence Theorem does not guarantee congruence of triangles. SSA can lead to ambiguous cases, meaning it does not satisfy the criteria needed to confirm that two triangles are congruent. In general, to determine triangle congruence, other congruence postulates (like SSS, SAS, or ASA) would need to be used.