MathDB
Boring geometry proving by angle chasing in XMO

Source: 15th XMO

April 30, 2024
geometry

Problem Statement

A quadrilateral ABCDABCD with AB⊥BCAB \perp BC , AD⊥DCAD \perp DC, EE is a point that is on the line BDBD with EC=CAEC=CA , FF, GG is on the line ABAB ADAD such that EF⊥ACEF\perp AC and EG⊥ACEG\perp AC ,let XYX Y be the midpoint of segment AFAGAF AG , let ZWZ W be the midpoint of segment BEDEBE DE , try to proof that (WBX)(WBX) is tangent to (ZDY)(ZDY)
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