Geometry & MeasuresDeep Dive

Method: Enlarging from a Centre

Part of Transformations: Enlargements — GCSE Mathematics

This deep dive covers Method: Enlarging from a Centre 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 4 of 6 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 4 of 6

Practice

15 questions

Recall

5 flashcards

Method: Enlarging from a Centre

1Draw lines from centre through each vertex

2Measure distance from centre to each vertex

3Multiply distance by scale factor

4Plot new vertices at new distances

5Join up the enlarged vertices

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.

Area and Volume Scale Factors Worked Example: Enlargement from Origin Zooming In and Out Scale 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 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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Area and Volume Scale Factors

Worked Example: Enlargement from Origin