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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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo