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Geometry & MeasuresStudy Notes

Worked Example: Enlargement from Origin

Part of Transformations: Enlargements · GCSE GCSE Mathematics revision

This study notes covers Worked Example: Enlargement from Origin within Transformations: Enlargements for GCSE Mathematics. Revise Transformations: Enlargements in Geometry & Measures for GCSE Mathematics with 15 exam-style questions and 5 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 5 of 7 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 5 of 7

Practice

15 questions

Recall

5 flashcards

Worked Example: Enlargement from Origin

Enlarge point (2, 3) by scale factor 4, centre (0, 0).

Step 1 Find vector from centre to point

Vector = (2, 3) - (0, 0) = (2, 3)

Step 2 Multiply by scale factor

New vector = 4 × (2, 3) = (8, 12)

Step 3 Add to centre

Image = (0, 0) + (8, 12) = (8, 12)

Keep building this topic

Read this section alongside the surrounding pages in Transformations: Enlargements. That gives you the full topic sequence instead of a single isolated revision point.

Method: Enlarging from a CentreExam TipsZooming In and OutScale Factor Effects

Practice Questions for Transformations: Enlargements

Which of the following statements correctly describes an enlargement?

  • A. A transformation that changes the shape of an object but keeps its size the same
  • B. A transformation that changes the size of a shape using a scale factor and a centre of enlargement
  • C. A transformation that always makes a shape bigger
  • D. A transformation that rotates a shape around a fixed point
1 markfoundation

Triangle P has vertices at (2, 1), (6, 1) and (2, 5). Triangle Q has vertices at (4, 2), (12, 2) and (4, 10). Describe fully the single transformation that maps triangle P onto triangle Q.

3 marksstandard

Quick Recall Flashcards

Scale Factor > 1
Shape gets BIGGER. SF = 2 means all lengths doubled. Only transformation that changes size!
Scale Factor < 1
Shape gets SMALLER. SF = 0.5 means all lengths halved. Still called "enlargement" even though it shrinks!

15 questions on Transformations: Enlargements — practise free

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Method: Enlarging from a Centre

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Exam Tips