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KöMaL 2022 C1736

    Let PP be an interior point of side CDCD of a parallelogram ABCDABCD, and let QQ be an interior point of side ABAB (being parallel with CDCD). The line segments PAPA and QDQD intersect each other at MM, while the line segments PBPB and QCQC intersect each other at NN. Find a condition to have MN∥ABMN\parallel{AB}.

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