Question: bd is the perpendicular bisector of ac?
Answer: If BD is a perpendicular bisector of AC, prove that ∆ABC isosceles. To prove that ∆ABC is isosceles, show that BA BC . We can do this by showing that the two segments are corresponding parts of congruent triangles. Since BDis perpendicular to AC , m∠BDA = m∠BDC = 90°.