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Varignon and Wittenbauer Parallelograms, Area Measurement.
Level: High School, SAT Prep, College geometry.

Varignon parallelogram. The figure formed when the midpoints of the sides of any quadrilateral are joined in order is a parallelogram. Its area is one half that of the quadrilateral.

Wittenbauer parallelogram. If the trisectors of each side of a quadrilateral are found, the figure formed by connecting and extending adjacent points on either side of a vertex is a parallelogram. Its area is 8/9 of the quadrilateral.

Varignon and Wittenbauer Parallelograms

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