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Prove that There is one circle, and only one, which passes through three given points not in a straight line.

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Prove that There is one circle, and only one, which passes through three given points not in a straight line.

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Data:

X, Y and Z are three points not in a straight line.

To Prove:

A unique circle passes through X, Y and Z.

Construction:

Join XY and YZ. Draw perpendicular bisectors of XY and YZ to meet at O.

Proof:

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