Problem 557: Quadrilateral, Midpoints, Sides, Varignon
Parallelogram, Area.
Level: High School, College, Math Education
The figure shows a quadrilateral ABCD. If E, F, G, and H are the
midpoints of the sides, prove that: (1) EFGH is a parallelogram known as Varignon
parallelogram; (2) Area of EFGH is one half the area ABCD.

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