8. In AABC, AB = AC and AD is the angle bisector of ZA.
Prove that AABD - AACD.
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In ∆ADB and ∆ADC
AB = AC ( given )
AD = AD ( Common )
Angle ADC = Angle ADB ( AD is the perpendicular bisector of BC )
Therefore , ∆ABD ∆ADC by SAS congruency rule
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