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In Figure, A B=C B\ a n d\ O is the cent...

In Figure, `A B=C B\ a n d\ O` is the centre of the circle. Prove that `B O` bisects `/_A B Cdot`

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Join `OA \and\ OC`
`OA=AC`(Radii of the same circle)
`AB=CB`(Given)
`OB=OB`(Common)
`/_\OAB~=/_\ OCB`(BY SSS
`/_ABO=/_CBO`(C.P.CT.)
`BO, \bisects\ /_ABC`.
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