In the figure below PR is the perpendicular bisector of a line AB=16 cm then which of the following is true?
The correct option is D: PA=PB
PR is the perpendicular bisector of line segment AB, so point P lies on the perpendicular bisector of AB. Then using the theorem
Any point (or every point) on the perpendicular bisector of the line segment joining two given points is equidistant from them.
we have PA=PB.