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AX:BX wanted, CX//DA,DX//CB.BY//CD,CY//BA (2015 Kyiv City MO 10.5.1)

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September 2, 2020
ratiogeometryparallel

Problem Statement

The points X,  YX, \, \, Yare selected on the sides ABAB and ADAD of the convex quadrilateral ABCDABCD, respectively. Find the ratio AX  :  BXAX \, \,: \, \, BX if you know that CX∣∣DACX || DA, DX∣∣CBDX || CB, BY∣∣CDBY || CD and CY∣∣BACY || BA.
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