Perpendicular Bisector

Last updated at July 25, 2026 by

Let’s take lines AB & XY

35.jpg

Now,

  XY ⊥ AB

 

If XY bisects AB as well

i.e. if O is the mid-point of AB

i.e. if OA = OB

 

Then, XY is perpendicular bisector of AB.

 

Perpendicular bisector means

  • Line is perpendicular
  • Line bisects the other line

Here,

  • XY ⊥ AB
  • And OA = OB

∴  XY is perpendicular bisector of AB.

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