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Exercises for Question Type 1: Finding the equation of a perpendicular bisector given two points - IB | RevisionDojo

Question 1

Find the equation of the perpendicular bisector for the segment with endpoints $(-2.3,1.7)$ and $(3.5,-0.3)$ .

[6]

Question 2

Consider the line segment $[AB]$ with endpoints $A(2, 20)$ and $B(6, 28)$ . The midpoint of $[AB]$ lies on the line $y = 5x + 4$ at $x = 4$ .

Find the equation of the perpendicular bisector of the segment $[AB]$ .

[6]

Question 3

Find the equation of the perpendicular bisector of the line segment joining the points $(8,1)$ and $(9,-2)$ .

[5]

Question 4

Find the perpendicular bisector of the segment with endpoints $(0,4)$ and $(6,34)$ .

[5]

Question 5

Find the perpendicular bisector of the segment joining $(-3, 4)$ and $(1, -2)$ .

[6]

Question 6

A line segment has endpoints $A(-1, 4)$ and $B(5, 24)$ . Find the perpendicular bisector of $AB$ .

[5]

Question 7

The endpoints of a segment are $A(1, 7)$ and $B(5, 31)$ . Find the equation of its perpendicular bisector.

[6]

Question 8

Determine the perpendicular bisector of the segment with endpoints $(1,5)$ and $(5,33)$ .

[5]

Question 9

Calculate the equation of the perpendicular bisector of the segment with endpoints $(0, 0)$ and $(4, 8)$ .

[5]

Question 10

Determine the perpendicular bisector of the segment joining $(1.5, 2)$ and $(4, 5)$ .

[5]

Question 11

A line segment connects the points $A(-1, 4)$ and $B(7, 34)$ .

Find the equation of the perpendicular bisector of the segment $AB$ , giving your answer in the form $y = mx + c$ .

[6]

Question 12

Determine the equation of the perpendicular bisector of the segment with endpoints $(2,5)$ and $(6,1)$ .

[5]

Question Type 1: Finding the equation of a perpendicular bisector given two points Exercises