Enlargements and similarity
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Log in to continueLocate enlarged points and distinguish unchanged angles from scaled lengths, areas and volumes.
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Enlarge point P(1, -2) by scale factor 2 about the origin. Where is P′?
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Cartesian axes. P: horizontal 1, vertical -2
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Answer: (2, -4)
- With centre at the origin, multiply both coordinates by the scale factor.
- P′ = (2, -4).
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Locate enlarged points and distinguish unchanged angles from scaled lengths, areas and volumes.
Read the official VCAA curriculum description (VC2M9SP02)
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Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M9SP02-C01Scale the vector from the centre to each point.
- VC2M9SP02-C02Apply and explain an enlargement using dynamic geometry software.
- VC2M9SP02-C03Use k, k² and k³ for the corresponding measures.
- VC2M9SP02-C04Explain similarities and changed measures using a constructed object.
- VC2M9SP02-C05Apply and explain enlargements and similarity using calculate and explain each step.
- VC2M9SP02-C06Apply and explain enlargements and similarity using read and connect representations.
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Enlarge from a centreScale the vector from the centre to each point.
- D02Lengths, areas and volumesUse k, k² and k³ for the corresponding measures.
- D03Calculate and explain each stepApply and explain enlargements and similarity using calculate and explain each step.
- D04Read and connect representationsApply and explain enlargements and similarity using read and connect representations.