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?\nlo ≅ lm\noa ≅ ma\n∠loa ≅ ∠lma\n∠lao ≅ ∠lam

what additional information is needed to prove that the triangles are congruent using the aas congruence theorem?\nlo ≅ lm\noa ≅ ma\n∠loa ≅ ∠lma\n∠lao ≅ ∠lam

Answer

Explanation:

Step1: Recall AAS congruence theorem

AAS (Angle - Angle - Side) requires two angles and a non - included side of one triangle to be congruent to the corresponding two angles and non - included side of another triangle.

Step2: Analyze given information

We know that we have a common side (LA). We need two angles. One angle at (L) is common. We need another pair of non - included angles.

Step3: Determine the correct option

We need (\angle LOA\cong\angle LMA) to satisfy the AAS congruence theorem as it gives us two angles and a non - included side (the common side (LA)).

Answer:

(\angle LOA\cong\angle LMA) (the third option)