Question

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

Explanation:

Step1: Check congruence criteria

The SAS (Side - Angle - Side) congruence theorem requires two sides and the included angle of one triangle to be congruent to two sides and the included angle of another triangle. From the image, we only see side - side correspondences, but no information about the included angles. So we cannot conclude the triangles are congruent.

Answer:

No, the triangles are not necessarily congruent.