MathDB
Reflections of circumcenter

Source: Sharygin Finals 2022 8.1

October 3, 2022
geometrygeometric transformationreflectioncircumcircle

Problem Statement

Let ABCDABCD be a convex quadrilateral with ∠BAD=2∠BCD\angle{BAD} = 2\angle{BCD} and AB=ADAB = AD. Let PP be a point such that ABCPABCP is a parallelogram. Prove that CP=DPCP = DP.
Back to ProblemsView on AoPS