Answer:
Given: Point A is on the perpendicular bisector of BC.
Prove: AB ≅ AC
Statement: Reason
In ΔABD and ΔACD,
BD = DC Definition of perpendicular bisector
∡ADB=∡ADC Being right angle
AD= AD Reflexive property
ΔADC≅ΔADB SAS Congruence Theorem
AB ≅ AC The corresponding side of the congruent traingle are congruent or eqaual.
Hence Proved: