Partition of a trapezoid
Source: Czech and Slovak Olympiad 1987, National Round, Problem 1
April 10, 2020
geometryconstructive geometryquadrilateralcyclic quadrilateraltrapezoidcircumcirclenational olympiad
Problem Statement
Given a trapezoid, divide it by a line into two quadrilaterals in such a way that both of them are cyclic with the same circumradius. Discuss conditions of solvability.