Conc.interj."Grigore Moisil" Urziceni 2010 probl.4

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Andi Brojbeanu
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Conc.interj."Grigore Moisil" Urziceni 2010 probl.4

Post by Andi Brojbeanu »

Fie \( ABCDE \) un pentagon si \( M, N, P, Q \) punctele de intersectie ale segmentelor ce unesc mijloacele laturilor opuse in patrulaterele \( BCDE, CDEA, EABD, ABCE \), respectiv.
Demonstrati ca \( MNPQ \) este paralelogram daca si numai daca \( ABCD \) este paralelogram.
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