We know that if you have the length of one side

of a square that you can construct the square.

And in fact there is a very easy tool for that in

GeoGebra – the regular polygon tool.

We just click on the first point and then we click

on the second point.

Because the square is a regular polygon with

four points or four sides, we can on OK.

There is our square with this side.

However, we might not know that a square is

also determined – that is, we can construct it

from its diagonal.
Your challenge here is to find out everything you

can about the diagonal of a square and

use this information to construct a square whose

diagonal is this line segment d. Good luck!