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Home Analytic Geometry Quadrilateral Varignon Parallelogram  
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Varignon ParallelogramWhen joining the midpoints P, Q, R, and S of the sides of a convex quadrilateral in order, a parallelogram is formed (the Varignon parallelogram). The area of the Varignon parallelogram is half that of the corresponding quadrilateral, and the perimeter of the parallelogram is equal to the sum of the diagonals d_{1} and d_{2} of the original quadrilateral. The center of the parallelogram is the geometric centroid of four point masses placed on the vertices of the quadrilateral.


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