Part 3 — Coordinate Geometry

Coordinate geometry — also called analytic geometry — is where geometry and algebra meet. By placing shapes on a numbered grid, we gain powerful algebraic tools for describing and analysing geometric relationships precisely.

In this part you will learn how to work with points, lines, and curves using coordinates and equations. You will explore the gradient and intercept of a line, distances between points, and the equations of circles and other conic sections. These techniques are essential bridges between pure geometric thinking and the quantitative methods used throughout science and engineering.