Online Geometry Problems

Online Geometry Problem 621: Two Parallelograms, Diagonals, Centers, Parallel Lines. Level: High School, Honors Geometry, College, Mathematics Education

The figure shows two parallelograms ABCD and ECFG with centers L, and H, respectively. E is on AB, and D on FG. EJ is parallel to AD, and DK is parallel to GE. Prove that lines LH and KJ are parallel.
 

 Two parallelograms, diagonal, center, parallel lines

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