Perpendicular Bisector Worksheet

Perpendicular Bisector is a line which cuts a line segment into two equal parts at 90 degrees. In the below diagram the point O represents the Perpendicular Bisector.

Formula:
Y = mx + c


Example
Coordinates (X₁,Y₁) = (1,2)
Coordinates (X₂,Y₂) = (3,4)

Step1: Calculate the slope of perpendicular bisector
Slope, m = (y₂ - y₁)/(x₂ - x₁)
= (4 - 2)/(3 - 1)
= 2/2 = 1
Perpendicular bisector is -1/slope
Therefore the slope of the perpendicular bisector will be -1

Step2: Calculate the midpoint
Midpoint = (x₁ + x₂)/2 , (y₁ + y₂)/2
= (1 +3)/2, (2 +4)/2
= 2,3

Step3: Find the Intercept value
Y = mx + c
3 = (-1)2 + c
C = 5

Step4: Calculate the length of the perpendicular
Y = (-1)X + 5

When you try such calculations on your own, this perpendicular bisector calculator can be used to verify your results.