Question

what additional information is needed to prove that the triangles are congruent using the asa congruence theorem?
○ nl ≅ mp
○ nk ≅ mq
○ ∠n ≅ ∠m
○ ∠l ≅ ∠p

Explanation:

Step1: Recall ASA congruence theorem

ASA (Angle - Side - Angle) requires two pairs of congruent angles and the included side between them to be congruent.

Step2: Analyze given information

We likely have some right - angles and one pair of sides congruent (from the markings). We need another pair of angles with the side between them.

Step3: Identify correct option

The correct angle pair for ASA is $\angle N\cong\angle M$ as they are angles with the side that could be the included side for the two triangles.

Answer:

$\angle N\cong\angle M$