MathDB
parallelogram

Source: Poland 2001

November 9, 2004
geometryparallelogramgeometric transformationreflectionratioanalytic geometryangle bisector

Problem Statement

Let ABCDABCD be a parallelogram and let KK and LL be points on the segments BCBC and CDCD, respectively, such that BK⋅AD=DL⋅ABBK\cdot AD=DL\cdot AB. Let the lines DKDK and BLBL intersect at PP. Show that ∡DAP=∡BAC\measuredangle DAP=\measuredangle BAC.
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