Geometry & MeasuresKey Facts

Scale Factor Effects

Part of Transformations: EnlargementsGCSE Mathematics

This key facts covers Scale Factor Effects 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 2 of 6 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 2 of 6

Practice

15 questions

Recall

5 flashcards

Scale Factor Effects

Scale Factor Effect on Shape Example
SF > 1 Shape gets BIGGER SF = 3: all lengths × 3
SF = 1 No change (same size) SF = 1: shape unchanged
0 < SF < 1 Shape gets SMALLER SF = 0.5: all lengths × 0.5
SF < 0 Enlarges AND inverts (opposite side) SF = -2: twice as big, flipped

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.

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

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