Stage: 4 Challenge Level: 
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$A$ and $C$ are the opposite vertices of a square $ABCD$, and
have coordinates $(a,b)$ and $(c,d)$, respectively.
What are the coordinates of the other two vertices?
What is the area of the square?
How generalisable are these results?
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Visualising. Discussion. Mathematical reasoning & proof. Working systematically. Right angled triangles. Circles. Real world. Squares. Coordinates. Games.
Published June 1999,November 2008,December 2008.
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