Varignon's Theorem

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.

 

Steve Phelps

 
Resource Type
Activity
Tags
parallelogram  theorem  varignon 
Target Group (Age)
14 – 19+
Language
English
 
 
GeoGebra version
5.0
Views
1679
Contact author of resource
 
 
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