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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.
 

Varignon Parallelogram Area, Midpoint
 

 

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Geometry problems 541-550