The figure below shows a quadrilateral ABCD.
Points E, F, G, H, M, N, P, and Q trisect the sides (divide each side into three equal parts). If S_{1}, S_{2}, S_{3}, and S_{4} are the areas of the shaded quadrilaterals, prove that: S_{1} + S_{3}, = S_{2}
+ S_{4}.
Sketch of problem 961
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