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1. AD=CD , AB=CB , BD=BD
2.AD=CD(Given)
AB=CB(Given)
BD=BD(Common side)
Therefore triangle ABD is congruent to triangle CBD(SSS congruency)
3. Yes.
since the 2 triangles are congruent
angle ABD=angle CBD(C.P.C.T.C)
Therefore BD bisects angle ABC.
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