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LearnCambridge4024Current syllabusPaper 2 · CalculatorGeometry

Paper 2 · Module

Geometry

5 subtopics≈ 150 min in total

Start the module: Angles and polygons Open graphing calculator

Angles and polygons
A handful of angle facts (straight lines $180^\circ$ , points $360^\circ$ , triangles $180^\circ$ , and the three parallel-line pairs) solve almost every angle problem. For polygons, start with the exterior angles: they always add up to $360^\circ$ .
≈ 30 min
Circle theorems
Eight short theorems describe how angles behave in a circle. Learn each one with its exact wording, spot which one a diagram is using, and give it as your reason.
≈ 35 min
Similarity and congruence
Similar shapes are enlargements of each other: same angles, all lengths multiplied by the same scale factor $k$ . Areas then scale by $k^2$ and volumes by $k^3$ . Congruent shapes are identical: $k=1$ .
≈ 30 min
Bearings, scale drawings and symmetry
A bearing is an angle measured clockwise from north, written with three figures. To reverse a bearing, add or subtract $180^\circ$ . Map scales turn real distances into drawn ones, and symmetry describes how a shape fits onto itself.
≈ 25 min
Constructions and loci
A locus is the set of all points that obey a rule. Points a fixed distance from a point make a circle; equidistant from two points, the perpendicular bisector; equidistant from two lines, the angle bisector. Ruler-and-compass constructions draw these exactly, and you leave the arcs to show your method.
≈ 30 min