Question

Select the choice that indicates AB←→ is the perpendicular bisector of CD←→ if they intersect at P.(1 point)

Answer 1

The choice that indicates \( AB \perp CD \) (AB is perpendicular to CD) and that \( P \) is the midpoint of \( CD \) would suggest that \( AB \) is the perpendicular bisector of \( CD \). In a geometric context, if two lines intersect at a point \( P \) such that:

1. \( AB \) is perpendicular to \( CD \) (meaning the angles formed at intersection \( P \) are right angles).
2. Point \( P \) is the midpoint of line segment \( CD \) (meaning \( CP = PD \)).

If both these conditions are satisfied, you can conclude that \( AB \) is the perpendicular bisector of \( CD \).

If you need to select from a list, look for a statement that combines these two aspects (perpendicular and midpoint).