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.