M6.3 Bearings, Polygons and Transformations
Three-figure bearings, polygon angle sums, preserved properties, general reflections and rotations, vector translations, enlargement and congruence.
How to study for CCEA GCSE Mathematics
Secure fluent methods, explain mathematical reasoning and solve unfamiliar problems with a route-aware balance of non-calculator and calculator practice.
Core concepts
Concept 1
Bearings are measured clockwise from north and written as three figures.
Exam cue: Confirm the CCEA unit, tier and calculator condition before selecting a method.
Concept 2
Interior and exterior polygon relationships support deduction for regular and irregular shapes.
Exam cue: Draw north lines, specify transformation data and distinguish invariant properties from properties changed by enlargement.
Concept 3
Rigid transformations preserve length and angle, while enlargement changes measures predictably.
Exam cue: Show a complete mathematical chain, use appropriate notation and check that the answer is sensible in context.
Risk pitfalls and guardrails
Measuring a bearing anticlockwise or from the destination's north line when the question requires the origin.
Guardrail: Do not import an England 9-1 convention, omit cumulative prerequisites or present a calculator display as mathematical reasoning.
Importing a topic boundary, formula sheet or paper convention from an England 9-1 board.
Guardrail: Do not import an England 9-1 convention, omit cumulative prerequisites or present a calculator display as mathematical reasoning.
Giving a calculator display or unsupported answer without the reasoning, units or accuracy the question requires.
Guardrail: M5-M8 Paper 1 is non-calculator; Paper 2 and every M1-M4 assessment use a permitted calculator.
Memory anchors
Bearing
A clockwise angle from north, written using three figures.
Exterior angle
The angle between a polygon side and the extension of an adjacent side.
Invariant
A property that remains unchanged under a transformation.
Vector
A quantity with magnitude and direction, used to specify a translation.
Congruent
Exactly the same shape and size.
Area scale factor
The square of the linear enlargement scale factor.
Checkpoint rule
Do the check-up only after you can summarize each concept in one sentence and identify one dangerous pitfall from memory.
Knowledge Check (after reading)
Short check-up to confirm understanding of this module.
Check-up Questions
Bearing of B from A is 070°. Find bearing of A from B.
Find each interior angle of a regular decagon.
Answer all questions to submit.
Next step personalized recommendations
Continue learning
Move forward only after this module is stable.
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