Introduction to Enlargement

Learn what enlargement is and how to enlarge a shape using ascale factor and a centre of enlargement. Let’s get started! 🚀

Introduction to Enlargement - introduction visual

Video Lesson

Watch and learn the basics

Flashcards

Review key concepts visually

Illustration explaining enlargement as a transformation, showing triangles scaled from widths 2 to 4 to 8.Enlarged triangles on a coordinate grid from centre P, showing scale factor 2, 4 and 8 and that factors >1 enlarge and 0–1 reduceTriangle enlarged by scale factor 3 from point P on a coordinate grid, with rays from P to vertices and new vertices marked three times further awayCoordinate grid showing trapezium A enlarged to trapezium B with lines from matching vertices meeting at centre of enlargement (0,0).Trapezium A enlarged to trapezium B on a coordinate grid, with lines to centre of enlargement O and scale factor 2 shown by lengths 4 and 8

🛎️ What Is Enlargement?

  • Enlargement is a transformation that changes the size of a shape.
  • All angles stay the same after an enlargement, but the lengths bigger or smaller.

🛎️ Understanding the Scale Factor

  • The scale factor is the number you multiply all lengths by.
  • If the scale factor is greater than 1, the shape gets bigger, and if it is between 0 and 1, the shape gets smaller.

🛎️ How to Enlarge a Shape from a Centre

  • Draw straight lines from the centre of enlargement to each corner.
  • Measure the distance from the centre to a corner, then mark the new point 3 times as far from the centre.

🛎️ Finding the Centre of Enlargement

  • Join each corner of the original shape to the matching corner of the enlarged shape.
  • Extend the lines until they meet at one point, called the centre of enlargement.

🛎️ Finding the Scale Factor

  • The scale factor is found using new length÷original length\text{new length} \div \text{original length}.
  • If a side goes from 4 units to 8 units, then 8÷4=28 \div 4 = 2, so the scale factor is 2.
  • Exam tip: Choose any pair of matching sides. Horizontal or vertical lines on the grid are easiest.

Practice Questions

Test your understanding

Interactive Activity

Learn how to enlarge a shape by a scale factor from a centre of enlargement

Loading interactive widget...

Course Overview
Next Lesson

Click here to open ChatCat

© 2026 Maths Angel. All rights reserved.