Question

Which postulate can be used to prove that JKL and JML are congruent?

Given ( In photo)

ASA


AAS


SAS


SSS

Answer 1

The correct answer option is AAS.

Explanation:

Here, we are given that the angle ∠K = ∠M, side JK = JM and the side JL bisects ∠KLM.

According to the Angle Angle Side theorem or postulate (which is commonly abbreviated as AAS), two triangles are said to congruent if two pairs of corresponding angles and a pair of opposite sides are equal in length of both the triangles.

Here in this case, ∠K = ∠M and side JK = side JM. Since side JL bisects ∠KLM, therefore ∠JLK and ∠JLM are also equal.

Hence, these two triangles are congruent.

Answer 2

AAS

Explanation:

Here we are given that:

Angle K = Angle M

JK≅JM

JL bisects angle KLM,

so we have Angle KLJ = angle MLJ

This means we have two angles and one side equal here.

So this means AAS congruency fits in the best here.

Answer : AAS congruency.