Geometry proofs again?

Question

Can someone do this problem in the below format and include CPCTC and try to explain how the congruency derived from the given is reached?

Statements Reasons
1. 1.
2. 2.
3. 3.
4. 4.
5. 5.
6. 6.
7. 7.

GIVEN: line GH is parallel to line KL
line GJ is congruent to line KJ
PROVE: J is the midpoint of line HL

j is in the center. the picture looks like two triangles kissing and their "lips" meet at point J

Answer 1

Though I tried to come up with a proof for you, I'm not sure where J is and that is necessary to continue