Question

does a perpendicular divides a line into two equal parts

Answer 1

Yes in some cases this happens that dream perpendicular bisects the line in two parts.

Mostly such thing is not so possible.

If the line is chord and the dream perpendicular is from the centre of the circle then only it will bisects the chord.

Whereas, if on a simple perpendicular bisector happens only if the all line bisecting steps be followed.

Answer 2

no the perpendicular does not divide a line into two equal parts.