what additional information is needed to prove that the triangles are congruent using the aas congruence…

what additional information is needed to prove that the triangles are congruent using the aas congruence theorem?\no $overline{lo}congoverline{lm}$\no $overline{oa}congoverline{ma}$\no $angle loacongangle lma$\no $angle laocongangle lam$

what additional information is needed to prove that the triangles are congruent using the aas congruence theorem?\no $overline{lo}congoverline{lm}$\no $overline{oa}congoverline{ma}$\no $angle loacongangle lma$\no $angle laocongangle lam$

Answer

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 given figure

We already have one angle at vertex L common to both (\triangle LOA) and (\triangle LMA). We need one more pair of angles and a non - included side. Among the options, if (\angle LOA\cong\angle LMA), along with the common angle at L and the non - included side LA for both triangles, we can use AAS congruence.

Answer:

C. (\angle LOA\cong\angle LMA)