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Diagonals of a parallelogram
 
The diagonals of a parallelogram bisect each other.
Try this Drag the orange dots on each vertex to reshape the parallelogram. Notice the behavior of the two diagonals.

In any parallelogram, the diagonals (lines linking opposite corners) bisect each other. That is, each diagonal cuts the other into two equal parts. In the figure above drag any vertex to reshape the parallelogram and convince your self this is so.

Other polygon topics

General

Types of polygon

Area of various polygon types

Perimeter of various polygon types

Angles associated with polygons

Named polygons