In the figure below, ABCD is a
quadrilateral of area S with the points E, F, G, H, M, N, P, and Q trisecting the sides. Lines
EN, FM, GQ and HP determine the shaded
quadrilateral of area S1.
Prove that S1
= S/9.

Typography of problem 178

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Ten problems: 171-180
Segment Trisection
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