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

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.

 

Sketch of problem 961

See also:
Problems
All Problems
Open Problems
Visual Index
Ten Problems 961-970
Quadrilaterals
Segment Trisection
Areas
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