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](p961-quadrilateral-trisect-side-sum-areas.gif)
Sketch of problem 961
![Geometry Problem 961: Quadrilateral, Trisection, Sides, Sum of Areas, iPad Apps](p961-quadrilateral-trisect-side-sum-areas-sketch-software.jpg)
See also:
Problems
All Problems
Open Problems
Visual
Index
Ten Problems 961-970
Quadrilaterals
Segment Trisection
Areas
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