Question

use the image to answer the question. are the triangles congruent? if so, write a congruence statement and reason why (1 point). yes, △abc≅△lmn by the sss congruence theorem. no, the triangles are not congruent. yes, △abc≅△mln by the sss congruence theorem. yes, △abc≅△lnm by the sss congruence theorem.

Explanation:

Step1: Identify corresponding sides

From the figure, we can see that $AB = LM$, $BC=MN$, and $AC = LN$ as indicated by the congruence marks.

Step2: Apply SSS congruence

Since all three pairs of corresponding sides are congruent, by the Side - Side - Side (SSS) Congruence Theorem, $\triangle ABC\cong\triangle LMN$.

Answer:

Yes, $\triangle ABC\cong\triangle LMN$ by the SSS Congruence Theorem