The midpoints of the sides of any quadrilateral, connected in order, form a parallelogram. Named for Pierre Varignon, it is a simple and elegant fact about the geometry of general quadrilaterals.
Facts
StatementThe midpoints of the four sides of any quadrilateral, connected in order, form a parallelogram, called the Varignon parallelogram. 1 Classification
Statement FormCharacterization Theorem 1 Connections
Sources
1. Varignon's Theorem (Wikipedia)
Wikimedia Foundationlead paragraph, theorem statement sentence
In Euclidean geometry, Varignon's theorem holds that the midpoints of the sides of an arbitrary quadrilateral form a parallelogram, called the Varignon parallelogram.
lead paragraph, attribution sentence
It is named after Pierre Varignon, whose proof was published posthumously in 1731.
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