Question

The SSS Congruence Theorem Quick Check 5 of 55 of 5 Items Question Use the image to answer the question. Are the triangles congruent? If so, write a congruence statement and reason why. (1 point) Responses 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. No, the triangles are not congruent. No, the triangles are not congruent. 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. Skip to navigation page 15 of 15 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

Answer 1

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

Without the image or specific side lengths given in your message, I can't make a determination about the congruence of the triangles directly. However, if you confirmed that all three pairs of corresponding sides are equal, you would conclude that:

Yes, the triangles are congruent. The correct congruence statement would be expressed as either:

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

or

• \( \triangle ABC \cong \triangle MLN \) by the SSS Congruence Theorem.

You would want to choose the response that matches your notation and the specific naming of the triangles in the image you referenced.