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.
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≅△NLM 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 since it can lead to ambiguous cases where two different triangles can have the same two sides and a non-included angle. Therefore, without additional information, we cannot conclude that triangles ABC and LMN are congruent.
