# Varignon's Theorem

- Author:
- Steve Phelps

- Topic:
- Parallelogram

In Euclidean geometry, Varignon's theorem states the midpoints of the sides of an arbitrary quadrangle form a parallelogram.
A common task for students is to determine the conditions which lead to a rhombus, rectangle, or square.
Activate the ROTATE 3D GRAPHICS VIEW tool, and see that this theorem holds in three dimensions.
Determine the conditions which lead to a rhombus, rectangle, and square.