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AP_|_MK if MC = KD in square ABCD - 2001 Cuba MO 2.2

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September 15, 2024
geometrysquareperpendicular

Problem Statement

Let ABCDABCD be a square. On the sides BCBC and CDCD the points MM and KK respectively, so that MC=KDMC = KD. Let PP the intersection point of of segments MDMD and BKBK. Prove that AP⊥MKAP \perp MK.
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