Question

What else would need to be congruent to show that JKL= MNO by AAS?

A. Angle LK = Angle ON
B. Angle L = Angle O
C. Angle LK = Angle OM
D. Angle K = Angle N

Answer 1

To prove triangle congruence by AAS, we need two angles and a non-inclusive side to be congruent; the answer is B. Angle L = Angle N to satisfy this requirement for triangles JKL and MNO.

Step-by-step explanation:

To show that triangles JKL and MNO are congruent by the Angle-Angle-Side (AAS) congruence theorem, two angles and a non-inclusive side in one triangle must be congruent to two angles and a non-inclusive side in the other triangle. Given that we are looking for AAS, the correct answer would be that the angles at L and N must be congruent.

So the correct option is B. Angle L = Angle N, meaning that if ∠L is congruent to ∠N, along with the given congruent angles and sides, then triangles JKL and MNO can be proven congruent by AAS.