MathDB
MN bisects the <QNP , inside rectangle ABCD

Source: Switzerland - Swiss TST 1999 p5

February 19, 2020
geometryrectangleangle bisector

Problem Statement

In a rectangle ABCD,MABCD, M and NN are the midpoints of ADAD and BCBC respectively and PP is a point on line CDCD. The line PMPM meets ACAC at QQ. Prove that MN bisects the angle ∠QNP\angle QNP.
Back to ProblemsView on AoPS