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5. what information is needed to prove the 2 triangles congruence using…

Question

  1. what information is needed to prove the 2 triangles congruence using the aas congruence postulate? o jk≅mk o ∠k≅∠k o ∠j≅∠m o jn≅ml

Explanation:

Step1: Recall AAS congruence postulate

AAS (Angle - Angle - Side) requires two angles and a non - included side to be congruent in two triangles.

Step2: Analyze given in the figure

We have right - angles $\angle N=\angle L = 90^{\circ}$ and a pair of congruent sides (marked). We need another pair of congruent angles.

Step3: Check the options

Among the options, $\angle J\cong\angle M$ would give us two angles and a non - included side for AAS congruence.

Answer:

$\angle J\cong\angle M$