伐里农平行四边形(英语:Varignon parallelogram,也称为中点平行四边形)是指任意四边形四边上中点,依次相连形成的四边形。1731年皮埃尔·伐里农证明这样的中点四边形一定是平行四边形,该命题也称为数学上的伐里农定理(Varignon's theorem),四边形也得名“伐里农平行四边形”[1]。伐里农定理对凸四边形、凹四边形、复杂四边形乃至空间四边形都是成立的。

四边形EFGH的面积 = 四边形'ABCD面积的1/2

参考文献

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