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Prove that In equal circles (or in the same circle), if two chords are equal, they cut off equal arcs.

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Prove that In equal circles (or in the same circle), if two chords are equal, they cut off equal arcs.

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Data:

In equal circles AXB and CYD, with centres P and Q, chord AB = chord CD.

To Prove:

arc AMB = arc CND; arc AXB = arc CYD

Proof:

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