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Question
are the triangles congruent? if so, write a congruence statement and reason why. (1 point) yes, △abc≅△lmn by the sas congruence theorem. yes, △abc≅△lnm by the sas congruence theorem. no, the triangles are not necessarily congruent. yes, △abc≅△mln by the sas congruence theorem.
Step1: Recall SAS congruence theorem
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 given triangles, we do not have information about the included angles between the pairs of congruent sides. Just having two pairs of congruent sides is not sufficient to prove congruence by SAS.
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No, the triangles are not necessarily congruent.