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Geometry · SS1–SS3

Coordinate geometry

Points, lines and gradients on the x–y plane: distance, midpoint and the equation of a line.

Before this
Linear & simultaneous equations
Leads to
Calculus (JAMB bridge)Vectors & transformationsCoordinate geometry & circles

Learn

  1. 1Points, distance and midpointThe distance between two points by Pythagoras, the midpoint as the average of the coordinates, finding a missing end point from the midpoint, and an unknown coordinate from a distance.Done14 min
  2. 2Gradient and the equation of a lineThe gradient from two points or from an equation, y = mx + c, the equation of a line through a point or through two points, parallel and perpendicular lines (equal gradients; m₁m₂ = −1), and the angle a line makes with the x-axis or with another line.Done19 min
  3. 3Where lines and graphs meetThe point where two lines cross, where a line meets a curve, choosing the line that solves an equation from a given graph, reading information off a graph, and regions and loci written as equations.Done15 min

Practise

Answer coordinate geometry questions one at a time. You'll know straight away whether you're right, with hints and the working step by step.

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Past questions (107)

From 1984–2025: 34 WAEC, 15 NECO, 58 JAMB. Theory questions first, then objective, newest first.

Theory (24)

Objective (83)