MathDB
APMO 2023 Problem 3

Source:

July 5, 2023
APMOAPMO 2023geometry

Problem Statement

Let ABCDABCD be a parallelogram. Let W,X,Y,W, X, Y, and ZZ be points on sides AB,BC,CD,AB, BC, CD, and DADA, respectively, such that the incenters of triangles AWZ,BXW,CYX,AWZ, BXW, CYX, and DZYDZY form a parallelogram. Prove that WXYZWXYZ is a parallelogram.
Back to ProblemsView on AoPS