Question

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

Explanation:

Step1: Recall SAS congruence

The SAS (Side - Angle - Side) congruence theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Step2: Analyze given triangles

In the problem, we are not given enough information about side - angle - side relationships. Just having some side - length markings is not sufficient to conclude congruence by SAS as we don't know about the included angles.

Answer:

No, the triangles are not necessarily congruent