Centre of Enlargement - GCSE Maths Definition

Reviewed by: Dan Finlay

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The "Centre of Enlargement" in GCSE Maths refers to a fixed point on a plane from which a shape is enlarged or reduced in size while maintaining its proportion. When performing a transformation labelled as an "enlargement", each point of the original shape is connected to the centre of enlargement, and the distance from this centre to each point is scaled by a specific factor known as the scale factor. If the scale factor is greater than one, the shape increases in size, whereas a scale factor between zero and one results in a reduction. The original shape and its image are similar, meaning they have the same shape but different sizes. The centre of enlargement is crucial as it determines the orientation and position of the transformed shape relative to the original.

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Dan Finlay

Reviewer: Dan Finlay

Expertise: Maths Lead

Dan graduated from the University of Oxford with a First class degree in mathematics. As well as teaching maths for over 8 years, Dan has marked a range of exams for Edexcel, tutored students and taught A Level Accounting. Dan has a keen interest in statistics and probability and their real-life applications.

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