Three post offices are located in a small city at ,
MATHEMATICS · Multi-part · IB Diploma Programme · Mathematics: Applications and Interpretation · Geometry and Trigonometry · Geometry and Trigonometry
Problem
Three post offices are located in a small city at P(−8,−6), Q(1,5), and R(4,−2).
(1) Find the equation of the perpendicular bisector of: i) [PQ]; ii) [PR]; iii) [QR].
(2) Graph the three post offices and the three perpendicular bisectors on the same set of axes. Use these lines to locate the point that is equidistant from all three post offices. Shade regions of your graph in different colours according to their closest post office.