Problem 558: Quadrilateral, Trisection, Sides, Wittenbauer
Parallelogram, Area.
Level: High School, College, Math Education
The figure shows a quadrilateral ABCD. Points E, E', F, F', G, G', H,
and H' trisect the sides AB, BC, CD, and AD, respectively. Extension of
lines EH', E'F, F'G, and G'H meet at K, L, M and N, respectively. Prove that: (1)
KLMN is a parallelogram known as Wittenbauer parallelogram; (2) Area of
KLMN is 8/9 of area ABCD.

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