Question

use the image to answer the question. which two triangles are congruent by the aas congruence theorem? enter the number of the correct option. option #1: △abc≅△xyz option #2: △abc≅△lmn option #3: △xyz≅△lmn (1 point) option #

Explanation:

Step1: Recall AAS Congruence Theorem

AAS (Angle - Angle - Side) states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent.

Step2: Analyze the angles and sides of the triangles

In \(\triangle ABC\) and \(\triangle LMN\), we can observe that two pairs of angles are marked as congruent and the non - included sides between those angles are also congruent.

Answer:

Option #2: \(\triangle ABC\cong\triangle LMN\)