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Seg RM and seg RN are tangent segments o...

Seg RM and seg RN are tangent segments of a circle with centre O. Prove that seg OR bisects `/_MRN` as well as `/_MON`.

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In `triangle RMO " and " triangle RNO`
`/_RMO=/_RNO=90^(@)" " "……"(" Tangent theorem ")`
`" Hypotenuse " OR cong " hypotenuse " OR " " "……."(" Common side ")`
Side `OM cong " side " ON " ""……"(" Radii of the same circle ")`
`:. triangle RMO cong triangle RNO " ""......."(" Hypotenuse side theorem ")`
`:./_MRO cong /_NRO`
and `/_MOR cong /_NOR`
`:. " seg " OR " bisects " /_MRN " and " /_MON`.
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