IB Mathematics Applications & Interpretation Question Type 1: Finding the Equation of a Perpendicular Bisector Given Two Points Exercises

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

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 $[AB]$.

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

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

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

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

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

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

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

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

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

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