Intersection of a Plane and a Tetrahedron

Let be a tetrahedron and let and be the midpoints of the edges and . Let a plane that contains the line intersect the edges and at points and . Then bisects .


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A proof is described in [1, p. 126].
[1] V. V. Prasolov and I. F. Sharygin, Problems in Stereometry (in Russian), Moscow: Nauka, 1989.
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