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≅△lnm by the sss congruence theorem. no, the triangles are not congruent. yes, △abc≅△lmn by the sss congruence theorem. yes, △abc≅△mln by the sss congruence theorem.

Explanation:

Step1: Identify congruent sides

From the figure, we can see that side - side - side (SSS) congruence elements match. $\overline{AB}\cong\overline{LN}$, $\overline{BC}\cong\overline{NM}$, $\overline{AC}\cong\overline{LM}$.

Step2: Determine the correct congruence statement

We need to match the vertices in the correct order. The correct congruence statement is $\triangle ABC\cong\triangle LNM$ according to the SSS Congruence Theorem.

Answer:

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