Midpoint Polygon Fun!
Imagine a shape with dots in the middle of each side. Connect those dots, and you get a new shape inside! That's a midpoint polygon!
Images
Midpoint polygon
wikipedia
Key Facts
Frequently Asked Questions
What is a midpoint polygon?+
It is a shape made by connecting the middle points of each side of another shape. The new shape sits inside the original shape.
How do you find the points to connect?+
Take the middle of each side, which is the average of the two endpoints' coordinates. Then join those middle points in the same order as the original sides.
Why do people study midpoint polygons?+
They help us see how shapes change when we keep taking midpoints, and they show patterns in area and shape that can become very small.
Will the new shape always be inside the old shape?+
Yes, the midpoint polygon is always drawn inside the original polygon.
What happens if you keep making midpoint polygons from the new one?+
Repeating the process makes the shapes get smaller and can show interesting patterns, especially for convex shapes.
Was this helpful?
W
Based on content from Wikipedia · Licensed under CC BY-SA 4.0