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.
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)
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.