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In the figure OM is perpendicular to AB....

In the figure OM is perpendicular to `AB`. Prove that `M` is the midpoint of `A B`.

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`A O=B O` (Radii of the same (circ)le) `therefore Delta AOB` is an isosceles triangle. We have to prove that `AM=BM`. In, àny isosceles triangle the perpendicular from the point joining equal sidês too the opposite.side bisects the angle af this point 4245 and the side opposite: ` B A=r`, `therefore A M=B M`
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