MathDB

191

Part of 1951 Moscow Mathematical Olympiad

Problems(1)

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

Source:

8/7/2019
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.
geometrytrapezoidgeometric constructionisoscelesIsosceles Trapezoid