Andrew draws a triangle ABC. He then constructs a perpendicular bisector from vertex A that intersects side BC at point D. What can Andrew conclude, based on his drawing?

Question

Andrew draws a triangle ABC. He then constructs a perpendicular bisector from vertex A that intersects side BC at point D. What can Andrew conclude, based on his drawing?

1. AB = BC 
2. BD = DC 
3. AD = BC 
4. AC = BC

Answer 1

Line segment BC has been bisected. So BD = CD, which is the same as answer choice 2.

NOTE that CD = DC, although it more common to name line segments alphabetically.