SOLUTION: Given: GH is parallel to KL; GJ is congruent to KJ Prove: J is the midpoint of HL The shape is an hour glass figure. GH on the left side J in the middle and LK on the right sid

Algebra ->  Geometry-proofs -> SOLUTION: Given: GH is parallel to KL; GJ is congruent to KJ Prove: J is the midpoint of HL The shape is an hour glass figure. GH on the left side J in the middle and LK on the right sid      Log On


   

Question 1000718: Given: GH is parallel to KL; GJ is congruent to KJ
Prove: J is the midpoint of HL
The shape is an hour glass figure. GH on the left side J in the middle and LK on the right side.

All I have so far are the 2 givens. I know the 2 triangles are congruent but I don't know how to proof it.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
G=======K
;;;;;;;J
H=======L
Angle JGK is congruent to angle JLK (alternate interior angles)
GJH is congruent to LJK (Vertical angles).
GJ=JL (given)
You have angle-side angle.