Question

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

Answer 1

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 \( \angle APB = 90^\circ \)**.