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Geometry Problem 961. Quadrilateral, Trisection, Sides, Sum of Areas, School, College

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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 S1, S2, S3, and S4 are the areas of the shaded quadrilaterals, prove that: S1 + S3, = S2 + S4.

 

Geometry Problem 961: Quadrilateral, Trisection, Sides, Sum of Areas

 


 

 

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