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9.3

Part of 2001 All-Russian Olympiad Regional Round

Problems(1)

DQ bisects <CDA of ABCD#, AM = NC - All-Russian MO 2001 Regional (R4) 9.3

Source:

9/26/2024
In parallelogram ABCDABCD, points MM and NN are selected on sides ABAB and BCBC respectively so that AM=NCAM = NC, QQ is the intersection point of segments ANAN and CMCM. Prove that DQDQ is the bisector of angle DD.
geometryparallelogramangle bisector