Question

why does a perpendicular bisector divide a line segment into half??

Answer 1

Because it is situated in that way

Answer 2

Answer:

A perpendicular bisector can be defined as a line segment which intersects another line perpendicularly and divides it into two equal parts. Thus, a perpendicular bisector of a line segment AB implies that it intersects AB at 90 degrees and cuts it into two equal halves.