4.3.2

Invariant Points

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Invariant Points

Points are invariant (unchanged) if they remain the same before and after a transformation. Types of transformation include reflection, rotation, translation and enlargement.

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Rotation

  • The only point of invariance under a rotation is the centre of rotation.
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Reflection

  • All points on the line of reflection are invariant.
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Enlargement

  • The only point of invariance under an enlargement is the centre of enlargement.
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Translation

  • No points are invariant under a translation.

Jump to other topics

1Number

1.1Using Numbers

1.2Fractions, Decimals & Percentages

1.3Powers & Roots

1.4Accuracy

2Algebra

2.1Introduction to Algebra

2.2Manipulating Algebra

2.3Proofs & Functions

2.4Straight Line Graphs

2.5Common Graphs

2.6Transformations & Tangents

2.7Properties of Graphs

2.8Solving Equations

2.9Inequalities

2.10Sequences

3Ratio

4Geometry

4.1Introduction to Geometry

4.2Triangles & Quadrilaterals

4.3Transformations

4.4Circle Basics

4.5Circle Theorems

4.6Measurements & Units

4.7Calculating Area

4.8Triangle Formulae

4.93D Shapes

4.10Vectors

5Probability

6Statistics

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