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

Answer 1

To determine if the triangles are congruent using the SSS (Side-Side-Side) Congruence Theorem, we need to know if all three pairs of corresponding sides of the triangles are equal in length.

If they are equal, then you can write a congruence statement. The congruence statement is typically written in the format of triangle names, matching corresponding vertices.

So, if all three pairs of sides in triangles ABC and LMN (for example) are equal in length, you would conclude that they are congruent and write:

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

You would choose the congruence statement that accurately reflects the labeling of the triangles based on their corresponding sides.