The Spatial Midpoint Quadrilateral Theorem
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The midpoints of the sides of any quadrilateral in space form a planar parallelogram. The controls allow you to create a wide range of three-dimensional quadrilaterals, yet the blue polygon always remains a parallelogram.
Contributed by: Mark McClure (March 2011)
Open content licensed under CC BY-NC-SA
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"The Spatial Midpoint Quadrilateral Theorem"
http://demonstrations.wolfram.com/TheSpatialMidpointQuadrilateralTheorem/
Wolfram Demonstrations Project
Published: March 7 2011