IP AMaths Notes (Upper Sec, Year 3-4): 08) Plane Geometry with Algebra
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Combine coordinate geometry, similarity, and circle theorems to chase angles and lengths in IP AMaths.
Last updated 30 Nov 2025
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- Start Here
- 1 Key reminders
- 2 Worked example - Coordinate angle chase
- 3 Worked example - Similar triangles with algebra
Q: What does IP AMaths Notes (Upper Sec, Year 3-4): 08) Plane Geometry with Algebra cover?
A: Combine coordinate geometry, similarity, and circle theorems to chase angles and lengths in IP AMaths.
Upper-sec paper setters mix Euclidean geometry with algebraic coordinates. Treat every diagram as an algebra system: assign variables, write equations, then solve.
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These reminders stay within the SEAB GCE O-Level Additional Mathematics (4049) coordinate-geometry and circle-theorem scope used in IP programmes.
Status: SEAB O-Level Additional Mathematics 4049 syllabus (exams from 2025) checked 2025-11-30 - scope unchanged; remains the reference for this note.
Start Here
| Read time | What to take away |
| 1 second | Plane geometry becomes easier when every diagram is turned into equations. |
| 10 seconds | Mark equal lengths, equal angles, cyclic angles, and similar triangles before solving. Then assign variables only where the diagram gives a relationship. |
| 100 seconds | Example: for a circumcentre, draw two perpendicular bisectors, solve their intersection, then use distance to one vertex as the radius. |
1 Key reminders
- Interior angles of a triangle sum to
