3.5 Perpendicular bisectorsIB Maths: Applications and Interpretation HL: Mind map

Exam questions on 3.5 Perpendicular bisectors

1. Points $A(2,1)$ and $B(8,5)$ are given.
   Find the equation of the perpendicular bisector of $[AB]$, giving your answer in the form $ax+by=d$ where $a$, $b$ and $d$ are integers.2 marks
2. Points $P(-3,7)$ and $Q(5,3)$ are given.
   Find the equation of the perpendicular bisector of $[PQ]$, giving your answer in the form $y=mx+c$.2 marks
3. The line segment $[CD]$ lies on the line $3x-4y=10$. The midpoint of $[CD]$ is $M(6,2)$.
   Find the equation of the perpendicular bisector of $[CD]$, giving your answer in the form $ax+by=d$ where $a$, $b$ and $d$ are integers.3 marks