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You can use the distance formula to show that all four sides are the same length. The shape must, therefore, be a rhombus or square.

If you then show that the length of the diagonal is sqrt(2) times the length of the side then, by Pythagoras, the diagonal and sides from a right angled triangle. The shape must, therefore, be a square.

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12y ago

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Related Questions

What is the distance formula in the coordinate plane?

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