FINDING EQUATION OF PERPENDICULAR BISECTOR WORKSHEET

A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of the line.

To find equation of perpendicular bisector, we follow the steps given below.

Step 1 :

Find the midpoint of the line segment for which we have to find the perpendicular bisector.

Step 2 :

Find the slope of the line segment.

Step 3 :

Find the slope of the perpendicular line using the formula -1/m. Here m is slope of the given line.

Step 4 :

To find equation of the perpendicular line, we use the formula given below.

(y - y₁) = -1/m (x - x₁)

Write an equation for the perpendicular bisector of the line segment joining

Problem 1 :

A(1, 4) and B(6, -6)

Problem 2 :

A(-3, -5) and B(9, -2)

Problem 3 :

A(5, 10) and B(10, 7)

Problem 4 :

A (-3, 4) and B (5, 6)

Problem 5 :

A (3, 8) and B (7, 14)

Problem 6 :

A (-5, 6) and B (1, 8)

Problem 7 :

A (-3, -6) and B (-1, 2)

Answer Key

1) 2x - 4y = 11

2) 8x + 2y = 17

3) 10x - 6y = 24

4) y = -4x + 9.

5) 2x + 3y = 43.

6) y = -3x + 1.

7) x + 4y = -10.