Use the image to answer the question.

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 which is the true correct answer and why

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.
Yes, triangle upper A upper B upper C congruent to triangle upper N upper L upper M by the SSA Congruence Theorem.
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Answer 1

Yes, the triangles are congruent. You can write the congruence statement as \( \triangle ABC \cong \triangle LMN \) by the SSS (Side-Side-Side) Congruence Theorem if all three corresponding sides are equal.

However, it appears that the provided options reference SSA (Side-Side-Angle), which is not a valid congruence criterion for triangles. Therefore, the most accurate response based on the traditional congruence criteria would actually be:

Yes, \( \triangle ABC \cong \triangle LMN \) by the SSS Congruence Theorem (assuming the triangles have equal corresponding sides).

If the measurements of the sides are not provided in the image, it's important to clarify that SSA does not guarantee congruence.