Question

Simple Proof Help

Answer 1

I know how to do the second part of the proof. But I don't see how to prove KL is congruent to LM. I got to JK+KL= NM+ML

Answer 2

I can't prove that JK is congruent to NM, which when substituted would simplify and prove their congruence.

Answer 3

I would use JL= LN (L divides JN into two congruent segments , definition of mid point)
that means by sss the "big" triangles are congruent
that makes their corresponding angles congruent
in particular < PJK = < QNM

then you can show the triangle PKJ and triangle QMN are congruent

Answer 4

Thanks so much! I tried a much more difficult way...

Answer 5

the last step uses AAS
If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

Answer 6

Thanks again!