What is a square?

A square is the locus of all the points in a plane for which the sum of the distances from two given perpendicular lines is constant. Drag point I to find out.


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If you want to know eleven more definitions of a square, go to my post Twelve Definitions of a Square posted in Mathematics for Teaching.

Polygons with equal area

This applet is part of the lesson on Constructing Polygons with Equal Area posted in Mathematics for Teaching blog.


1. Drag point B. What do you notice about the area of the polygon?
2. Drag point A. What polygons are formed? What can be said about its area?
3. Drag points A and C to form a pentagon. 


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4. What must be true about C and D for the area of the pentagon to be equal to the area of the triangle.