MathDB
Parallel lines in space

Source: Czech and Slovak Olympiad 1987, National Round, Problem 6

April 10, 2020
Parallel Linesgeometry3D geometrynational olympiad

Problem Statement

Let AA′,BB′,CC′AA',BB',CC' be parallel lines not lying in the same plane. Denote UU the intersection of the planes A′BC,AB′C,ABC′A'BC,AB'C,ABC' and VV the intersection of the planes AB′C′,A′BC′,A′B′CAB'C',A'BC',A'B'C. Show that the line UVUV is parallel with AA′AA'.
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