Geometry (Sec 2) Practice
Apply Pythagoras' Theorem, congruence tests (SSS, SAS, AAS, RHS), similarity, interior and exterior angle properties of polygons, and geometric proof. These skills recur throughout the O-Level paper.
Common Mistakes to Avoid
Using Pythagoras on non-right-angled triangles
Confusing congruence (same size and shape) with similarity (same shape, different size)
Incorrectly summing interior angles: (n − 2) × 180° applies to any polygon, not just regular ones
Practice Questions
Try each question. When you're stuck, reveal the Socratic strategy — a guided hint that teaches you how to think, not just what to write.
A right-angled triangle has legs of 5 cm and 12 cm. Find the hypotenuse.
Find the sum of the interior angles of a regular hexagon.
Two triangles ABC and DEF have AB = DE, BC = EF, and angle B = angle E. Are they congruent? State the congruence test.
Parent & Tutor Insight
Geometry proofs are intimidating but highly structured. Teach your child to always state a reason for every step ('angles on a straight line', 'corresponding angles, AB ∥ CD'). Examiners award marks for reasons, not just calculations.
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