Question

triangle congruence
image long description
are the triangles congruent? if so, write a congruence statement and reason why.
(1 point)
yes, △abc ≅ △mln by the sas congruence theorem.
yes, △abc ≅ △lmn by the sas congruence theorem.
yes, △abc ≅ △lnm by the sas congruence theorem.
no, the triangles are not necessarily congruent.

Explanation:

Step1: Check for SAS congruence

For SAS (Side - Angle - Side) congruence, two sides and the included angle of one triangle must be equal to two sides and the included angle of another triangle.

Step2: Analyze the sides and angle

In \(\triangle ABC\) and \(\triangle MLN\), we can match the sides and the included angle.

Answer:

Yes, \(\triangle ABC\cong\triangle MLN\) by the SAS Congruence Theorem.