This key facts covers Area and Volume Scale Factors 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 3 of 7 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.
Area and Volume Scale Factors
| Measurement | Scale Factor | Example |
|---|---|---|
| Length | SF | SF = 3: length × 3 |
| Area | SF² | SF = 3: area × 9 |
| Volume | SF³ | SF = 3: volume × 27 |
Practice questions for Transformations: Enlargements
Which of the following statements correctly describes an enlargement?
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.
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!