MATHEMATICS · Multi-part · GCSE · Mathematics · Geometry and Measures · Geometry and Measures
Problem
Consider three points A(1,2), B(4,5), and C(2,−1).
(1) Find the equation of the perpendicular bisector of: (i) [AB], (ii) [AC], (iii) [BC].
(2) Graph the three perpendicular bisectors on the same set of axes. Discuss your observations.
(3) Describe how to find the centre of the circle which passes through three non-collinear points.