Varignon's theorem
Varignon's theorem
Take any quadrilateral in the plane. The midpoints of the sides of an arbitrary quadrilateral form a parallelogram.
If the quadrangle is convex or reentrant, i.e. not a crossing quadrangle, then the area of the parallelogram is half the area of the quadrangle.
Varignon's theorem
Take any quadrilateral in the plane. The midpoints of the sides of an arbitrary quadrilateral form a parallelogram.
If the quadrangle is convex or reentrant, i.e. not a crossing quadrangle, then the area of the parallelogram is half the area of the quadrangle.