In the diagram below xy is the perpendicular bisector of jk. which of the following statements must be true?

A perpendicular bisector of a segment divides it into halves forming a right angle with the segment. From this description, we then access the each of the choices.

(1)  A is true.

(2) B is true.

(3) C is false. Since line segment XY is the perpendicular bisector, it is not necessary that P should be its midpoint. 

(4) D is true.

(5) E is false. The same explanation as that of C, P is not necessarily at the center of the line segment XY.

(6) F is true.