select the choice that indicates a b is the perpendicular bisector of cd if they intersect at p

Question

GPT-4o mini · Answer

If line segment $ AB $ is the perpendicular bisector of line segment $ CD $ and they intersect at point $ P $, the following conditions must be true: 1. $ P $ is the midpoint of $ CD $. 2. $ AB $ is perpendicular to $ CD $. To represent this in a choice format, it could be something like this: - A) $ P $ is the midpoint of $ CD $ and $ \angle APB = 90^\circ $ - B) $ P $ is not the midpoint of $ CD $ and $ \angle APB \neq 90^\circ $ - C) $ P $ is the midpoint of $ CD $ but $ \angle APB \neq 90^\circ $ - D) None of the above The correct choice that indicates that $ AB $ is the perpendicular bisector of $ CD $ is: **A) $ P $ is the midpoint of $ CD $ and $ \angle APB = 90^\circ $**.