Creating Squares
Move the blue points in the applet below to create a square.
When you think you've made a square, you can check to see if you're correct.
Use the 'Reset' button to randomly place the two black points in new positions.
Questions to consider
Do you have a strategy for working out where to place the two blue points?
Is it always possible to make a square?
If the two black points had coordinates (a,b) and (c,d), can you find a way to write the coordinates of the two blue points in terms of a, b, c and d?