# Varignon's theorem

Take any four points and connect them to form a quadrilateral.
Connect the midpoints of these segments to make another quadrilateral.
What is interesting about the resulting smaller figure? What is going on?
Drag the large black dots below to experiement.
P.S. this works in 3D as well.
h/t: Scientific American's Roots of Unity blog and "Favorite Theorem" podcast

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