The Problem


Original Discussion




Demonstration 3. Area of Midpoint Quadrilaterals

In this demo, you will see a quadrilateral and its related midpoint polygon. You can move one point of the quadrilateral (the blue one) by clicking in the window; the other three points can be changed by typing in their coordinates in the other window.

The demo automatically calculates the oriented areas of the two regions and their ratio. What happens when the quadrilateral is convex? non-convex? self intersecting?