Proving a kite
Source: Serbian JBTST 3, Day 2
May 31, 2009
geometryparallelogramperpendicular bisectorgeometry proposed
Problem Statement
Let be a convex quadrilateral, such that
\angle CBD\equal{}2\cdot\angle ADB, \angle ABD\equal{}2\cdot\angle CDB and AB\equal{}CB.
Prove that quadrilateral is a kite.