Question

Select the choice that indicates AB is the perpendicular bisector of CD if they intersect at 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 true:

1. **Intersection point:** Point P is the point where AB and CD intersect.
2. **Perpendicularity:** AB is perpendicular to CD at point P, meaning the angle formed at point P between the two lines is 90 degrees (or \(\angle APB = 90^\circ\)).
3. **Bisection:** Point P divides segment CD into two equal parts, meaning point C to point P is equal in length to point P to point D (\(CP = PD\)).

If you need a specific choice or statement to indicate this, it could be something like:

"AB is the perpendicular bisector of CD since line AB intersects CD at point P, forming a right angle, and segments CP and PD are equal in length."

If this is part of a multiple-choice question, please provide the options for a more precise selection.