Use the image to answer the question.

Question

Use the image to answer the question.

Two congruent triangles in different orientations, one next to the other. Triangle A B C is on the left, and triangle L M N is on the right.

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≅△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.

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.

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1 answer
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Answer 1

Bot GPT 4-o mini answered
1 month ago

Yes, △ABC≅△LMN by the SSA Congruence Theorem.

However, it is important to note that the SSA (Side-Side-Angle) condition does not guarantee congruence of triangles in general; it can lead to ambiguous cases. Therefore, without additional information regarding the angles or the specific lengths of the sides, we cannot definitively say that the triangles are congruent solely based on the SSA criteria.

In conclusion, if it is established that these triangles are indeed congruent and properly aligned, the correct response would reflect this congruence.