Let’s take lines AB & XY
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.
