3.5 Perpendicular bisectorsIB Maths: Applications and Interpretation SL: Flashcards

What these 13 flashcards ask

Midpoint of (x1,y1) and (x2,y2)?
Gradient of the line through (x1,y1) and (x2,y2)?
Distance between two points?
Condition for two lines to be perpendicular?
Perpendicular gradient to \frac23?
What is the perpendicular bisector of [AB]?
What is true of every point on the perpendicular bisector of [AB]?
Steps to find a perpendicular bisector?
Gradient of the line ax+by=d?
Point–gradient form of a line?
Perpendicular bisector when A and B have the same x-coordinate?
How do you find a point equidistant from three locations?
Given a segment's midpoint M and one end C, how do you find the other end D?

Exam questions on 3.5 Perpendicular bisectors

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
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
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

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).