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MMO 191 Moscow MO 1951 isosceles trapezoid ABCD, P, construct quadril.

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August 7, 2019
geometrytrapezoidgeometric constructionisoscelesIsosceles Trapezoid

Problem Statement

Given an isosceles trapezoid ABCDABCD and a point PP. Prove that a quadrilateral can be constructed from segments PA,PB,PC,PDPA, PB, PC, PD.
Note: It is allowed that the vertices of a quadrilateral lie not only not only on the sides of the trapezoid, but also on their extensions.
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