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Prism with six faces circumscriptible quadrilaterals

Source: Romanian NMO 2006, Grade 8, Problem 1

April 18, 2006
geometry3D geometryprism

Problem Statement

We consider a prism with 6 faces, 5 of which are circumscriptible quadrilaterals. Prove that all the faces of the prism are circumscriptible quadrilaterals.