IP Maths Notes (Lower Sec, Year 1-2): 06) Geometry, Congruency & Similarity
Download printable cheat-sheet (CC-BY 4.0)21 Nov 2025, 00:00 Z
Reviewed by
Marcus Pang·Managing Director (Maths)
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Q: What does IP Maths Notes (Lower Sec, Year 1-2): 06) Geometry, Congruency & Similarity cover?
A: Apply angle rules, triangle congruency tests, similarity ratios, and prove properties of polygons and circles.
Geometry proofs reveal structure: angles encode relationships, congruency secures shape equality, similarity scales figures. This note consolidates core rules.
These notes align with MOE Lower Secondary Mathematics syllabus used in IP pathways (aligned to O-Level Mathematics 4048 foundations).
Status: MOE Lower Secondary Mathematics syllabus (latest release) checked 2025-11-30 - scope unchanged; remains the reference for these lower-sec notes.
Learning targets
- Quote and apply angle properties of parallel lines, polygons, and circles.
- Use triangle congruency tests (SSS, SAS, ASA, RHS) logically.
- Apply similarity ratios to find missing lengths and areas.
- Structure geometry proofs with clear statements and reasons.
1. Angle properties refresher
- Straight line: adjacent angles sum to .
- Vertically opposite angles are equal.
- Alternate angles and corresponding angles are equal when lines are parallel.
- Interior angles on the same side of a transversal sum to
