MathDB
Concurrency In Tangential Quadrilateral

Source: KöMaL A. 743

March 19, 2022
geometrykomal

Problem Statement

The incircle of tangential quadrilateral ABCDABCD intersects diagonal BDBD at PP and QQ (BP<BQ).(BP<BQ). Let UVUV be the diameter of the incircle perpendicular to ACAC (BU<BV).(BU<BV). Show that the lines AC,PV,AC,PV, and QUQU pass through one point.
Based on problem 2 of IOM 2018, Moscow
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