MathDB
Prove that angle BAX = angle CAY

Source: Sharygin First Round 2013, Problem 18

April 8, 2013
Asymptotegeometryincentergeometric transformationreflectiongeometry proposed

Problem Statement

Let ADAD be a bisector of triangle ABCABC. Points MM and NN are projections of BB and CC respectively to ADAD. The circle with diameter MNMN intersects BCBC at points XX and YY. Prove that ∠BAX=∠CAY\angle BAX = \angle CAY.
Back to ProblemsView on AoPS