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Tedrahedron ABCD

Source: IMO Shortlist 1988, Problem 6, Czech Republic 3, Problem 8 of ILL

October 22, 2005
geometry3D geometrytetrahedronparallelogramIMO Shortlist

Problem Statement

In a given tedrahedron ABCD ABCD let K K and L L be the centres of edges AB AB and CD CD respectively. Prove that every plane that contains the line KL KL divides the tedrahedron into two parts of equal volume.
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