Question

PLEASE HURRY!

Given: Point A is on the perpendicular bisector of BC.

Prove: AB ≅ AC

Your proof should contain statements, as well as, the reasons those statements are valid. It should also contain any necessary pictures.

Answer 1

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: