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GCSE Mathematics · key term
A property or point that remains unchanged after a transformation or sequence of transformations.
Used by AQA and Edexcel
Specification G8 · Paper 1, Paper 2, Paper 3
Revise: Invariance in TransformationsAn invariant point ends exactly where it started. Under a single reflection, every point on the mirror line is invariant. Under a rotation through an angle other than a full turn, the centre is invariant.
Specification G8 · Paper 1, Paper 2, Paper 3
A property or point that is unchanged by a transformation or a sequence of transformations.
Revise: InvarianceThis is the idea of invariance: something invariant has not changed. Be precise about what is invariant. A side length can stay the same even though the side has moved.
If asked for invariant points, check which points stay in exactly the same place. A shape landing on itself does not mean its vertices are invariant.
To test whether a point is invariant, track that particular point through every transformation. A shape landing on itself does not mean all its points stayed still.
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