IP EMaths Notes (Upper Sec, Year 3-4): 07) Coordinate Geometry
In one line
Gradients, midpoints, and distance formulas for quick analytic geometry in the coordinate plane.
Last updated 30 Nov 2025
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- Core formulas
- Worked example - Equation of a perpendicular bisector
- Practice Quiz
Q: What does IP EMaths Notes (Upper Sec, Year 3-4): 07) Coordinate Geometry cover?
A: Gradients, midpoints, and distance formulas for quick analytic geometry in the coordinate plane.
Start Here
| Read time | What to take away |
| 1 second | Coordinates turn geometry into formulas for gradient, midpoint, distance, and line equations. |
| 10 seconds | Find the feature you need first: gradient for direction, midpoint for halfway points, distance for length, and negative reciprocal gradients for perpendicular lines. |
| 100 seconds | Use the perpendicular bisector example as a template: calculate midpoint, calculate gradient, switch to the perpendicular gradient, then write the line through the midpoint. |
Coordinate geometry connects algebra with diagrams. These formulas appear in locus questions, perpendicular bisectors, and vector tie-ins.
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These notes align with SEAB GCE O-Level Mathematics (4052) content used in IP programmes (exams from 2026).
Status: SEAB O-Level Mathematics 4052 syllabus (exams from 2026) checked 2025-11-30 - scope unchanged; remains the reference for these notes.
Core formulas
- Gradient between
