Practice question · Sort into groups
Sort these geometric operations into Linear or Not Linear.
Groups: Linear · Not Linear
- Translation
- Inversion (x
- Rotation
- Scaling
- Reflection
Hints
- Ask whether the origin stays fixed under the operation.
- Moving every point by a fixed amount breaks the requirement.
Show the answer
Linear: Rotation, Scaling, Reflection
Not Linear: Translation, Inversion (x
Why
Rotation, scaling, and reflection preserve the origin; translation and inversion do not.
Practise Linear Transformations
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