IP EMaths Notes (Upper Sec, Year 3-4): 12) Similarity and Congruency
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Use similarity ratios and congruency criteria to prove geometric relationships and scale figures accurately.
Last updated 30 Nov 2025
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- Quick reference
- Similarity fundamentals
- Congruency fundamentals
Q: What does IP EMaths Notes (Upper Sec, Year 3-4): 12) Similarity and Congruency cover?
A: Use similarity ratios and congruency criteria to prove geometric relationships and scale figures accurately.
Start Here
| Read time | What to take away |
| 1 second | Similar shapes have matching angles and scaled sides; congruent shapes match exactly. |
| 10 seconds | Write corresponding vertices in the correct order before using ratios. Similarity scales lengths by (k), areas by (k^2), and volumes by (k^3). Congruency transfers equal sides and angles directly. |
| 100 seconds | Use the lamppost and proof examples to practise clear geometry writing: state the matching angles or sides, name the test, set up the ratio, and conclude in words. |
Similarity compares shapes with proportional sides and equal angles, while congruency proves exact matches. Keep diagrams annotated with tick marks, matching angle symbols, and explicit ratio statements so the reader can follow the logic without guessing.
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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.
Quick reference
- Similarity shortcut: write
