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
Has Statement Form
Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
In Branch
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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