Geometry and transformations.
Connect angle facts, enlargement, geometric invariants and compass constructions. Write, test and justify precise geometric procedures.
Work through the topic
Learn the method, follow the examples, then try the worksheet.
- 01
Angle reasoning consolidation
Use linked angle facts to calculate unknown angles and explain each step.
- 02
Enlargements using coordinates/digital geometry
Enlarge a figure from a stated centre using coordinates and a scale factor.
- 03
Invariant and changing properties
Identify invariant properties and distinguish length from area scale factors.
- 04
Geometric constructions
Construct bisectors and equal-sided triangles using a compass and straightedge.
- 05
Sequences of steps and decisions
Write precise geometric steps, decisions and repeated actions.
- 06
Testing/refining construction algorithms
Use varied test cases to find and repair faults in geometric procedures.
- 07
Explaining geometric reasoning
Write geometric explanations as connected statements supported by reasons.
Topic review
Revisit the key ideas, then choose a practice paper.