Write a flow proof.

Question

Given: <N is congruent to <L

     line JK is congruent to line MK

 

Prove: triangle JKN is congruent to triangle MKL

Answer 1

There is nothing wrong with the question, guys, if we will assume that line segments LN and MJ intersect at point K, otherwise there is no enough information for a proof.
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Statement: Line segments LN and MJ intersect at point K.
Reason: Given

Statement: Line segments JK and MK are congruent.
Reason: Given

Statement: Angles KLM & KNJ are congruent.
Reason: Given

Statement: Angles MKL and JKN are congruent.
Reason: Vertical angles are congruent (Theorem)

Statement: Angles NJK and LMK are congruent.
Reason: Congruent angles have equal degree measures.

Statement: Triangles JKN & MKL are congruent.
Reason: ASA Postulate.

Answer 2

I can't personally think of a way to have two triangles that share the same angle K and are congruent without them being superimposed, in which case the other two vertices would not have different names.

Alex is correct that something had to be wrong with the question. We were given no diagram and with the ONLY the information given, the triangles can't be proved congruent.