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Step-by-step explanation:
In triangles AOD and BOC and BOC,
angle OAD = angle OBC
angle AOD = angle BOC
side AD = side BC
so triangle AOD ~ triangle BOC
=> OA/OB = OD/OC = AD/BC = 1 (since side AD = side BC)
=> OA/OB = 1 and OD/OC = 1
so, CD bisects AB. (proved)
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