Constructing a Square

This is the output of GeoGebra Tutorial 3 - Constructing a Square from the GeoGebra Step-by-Step Tutorial Series of Mathematics and Multimedia. The GeoGebra ggb file can be downloaded here.

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Move points A and B. What do you observe?

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Can you think of other ways of constructing a square without using the Regular Polygon tool, or the following the tutorial?