Question

Select the choice that indicates AB is the perpendicular bisector of CD if they intersect a P.

Answer 1

To indicate that line segment AB is the perpendicular bisector of line segment CD at point P, the following conditions must be met:

1. **Perpendicularity**: Line AB must intersect line CD at point P at a right angle (90 degrees).

2. **Bisection**: Point P must be the midpoint of line segment CD, meaning that the lengths of CP and PD are equal.

If both of these conditions are true, we can say that AB is the perpendicular bisector of CD at point P.

In terms of choices, you would choose:

- **AB ⊥ CD at P (AB is perpendicular to CD)**
- **P is the midpoint of CD (CP = PD)**

If these statements are included among your options, that would indicate that AB is indeed the perpendicular bisector of CD at point P.