Problem 236.
Quadrilateral, Midpoints, Exterior line, Perpendicular lines

The figure shows a quadrilateral ABCD,
E, F, G, and H are the midpoints of the sides, If e, f, g, and h are the perpendiculars
drawn from E, F, G, and H to an exterior line E'G', respectively,
prove that: e + g = f + h.
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