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Step-by-step explanation:
given,
AD=DC
AB=BC
To Prove,
BD bisects angle B and D as well
angle ABD=CBD
Angle ADB=BDC
Proof,
In triangle ABD and CBD
AD=DC{given}
AB=BC{given}
BD=DB[common}
By SSS congruency rule Triangle ABD is congruent to CBD
ii) As triangle ABD is congruent to triangle CBD
So by CPCT Angle ABD=CBD
And again by CPCT ADB=BDC
therefore BD bisects angle D and Angle B as well
hence proved
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