The SSS Congruence Theorem Quick Check

Question

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Question
Use the image to answer the question.

An illustration shows two congruent triangles in different orientations. Three corresponding sides are marked as congruent.

Are the triangles congruent? If so, write a congruence statement and reason why.

(1 point)
Responses

No, the triangles are not congruent.
No, the triangles are not congruent.

Yes, △ABC≅△LNM by the SSS Congruence Theorem.
Yes, triangle upper A upper B upper C congruent to triangle upper L upper N upper M by the SSS Congruence Theorem.

Yes, △ABC≅△LMN by the SSS Congruence Theorem.
Yes, triangle upper A upper B upper C congruent to triangle upper L upper M upper N by the SSS Congruence Theorem.

Yes, △ABC≅△MLN by the SSS Congruence Theorem.
Yes, triangle upper A upper B upper C congruent to triangle upper M upper L upper N by the SSS Congruence Theorem.
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Answer 1

Yes, \( \triangle ABC \cong \triangle LMN \) by the SSS Congruence Theorem.

The SSS Congruence Theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. Since the corresponding sides of the triangles are marked as congruent in the illustration, the triangles must be congruent.