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.

  1. Chapter 5 Class 6 Understanding Elementary Shapes
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.