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Geometry

October 13, 2016

We cut out random quadrilaterals, found the midpoint of each side, joined them up, and looked at the quadrilaterals inside.

Each interior quadrilateral was a parallelogram!
Next we joined midpoints of triangle sides.

The segment drawn is parallel to the 3rd side, and half its length.  The little triangle is 1/4 the area of the big one.

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