IGCSE Maths: Geometry

Overview

Geometry questions test spatial reasoning and the ability to apply angle rules and circle theorems. Extended students need to master all circle theorems and apply them in multi-step problems.

Core Syllabus Topics

• Angle properties (parallel lines, triangles, polygons)
• Properties of quadrilaterals
• Symmetry (line and rotational)
• Pythagoras' theorem

Extended Syllabus Topics

• Circle theorems (all seven)
• Similar triangles (area and volume ratios)
• Angle in alternate segment
• Cyclic quadrilateral properties

Common Mistakes to Avoid

• Confusing alternate and corresponding angles
• Forgetting to state which circle theorem is being used
• Mixing up area ratio (k²) and volume ratio (k³) for similar shapes
• Incomplete angle proofs