IP Maths Notes (Lower Sec, Year 1-2): 06) Geometry, Congruency & Similarity
In one line
Apply angle rules, triangle congruency tests, similarity ratios, and prove properties of polygons and circles.
Last updated 30 Nov 2025
Want small-group support? Browse our IP Maths Tuition hub. Not sure which level to start with? Visit Maths Tuition Singapore.
Planning a revision session? Use our study places near me map to find libraries, community study rooms, and late-night spots.
Read in layers
1 second
Read the summary above.
10 seconds
Scan the first few sections below.
100 seconds
Jump into the section that matches your decision.
- Start Here
- Learning targets
- 1 Angle properties refresher
- 2 Triangle congruency
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.
Start Here
| Read time | What to take away |
| 1 second | Geometry proof is evidence writing: state the rule, then use it. |
| 10 seconds | Angle facts locate equal angles, congruency proves exact matching, and similarity uses scale factors for lengths, areas, and volumes. |
| 100 seconds | Work through the examples by annotating the diagram first, naming the matching parts, choosing the test, and writing each reason beside the statement it supports. |
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 4052 foundations).
Status: MOE Lower Secondary Mathematics syllabus (latest release) checked 2025-11-30 - scope unchanged; remains the reference for these lower-sec notes.
New to the Integrated Programme? Start with What is IP? | Browse all free IP 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
