Enlargements (Edexcel GCSE Maths): Flashcards

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Enlargements
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What is an enlargement?

A transformation that changes the size of a shape

Two pieces of info to describe an enlargement

Scale factor and centre of enlargement

What does the scale factor tell you?

How many times larger or smaller the new shape will be

Formula for scale factor

New lengthOriginal length\frac{\text{New length}}{\text{Original length}}

Effect of scale factor >1> 1

Image will be larger than the original object

Effect of scale factor between 0 and 1

Image will be smaller than the original object

What is the centre of enlargement?

A fixed point from which the enlargement takes place

Property of lines through corresponding points in enlargement

They all meet at the centre of enlargement

What stays unchanged during an enlargement?

Angles remain unchanged

What changes during an enlargement?

Side lengths (multiplied by the scale factor)

Effect of fractional scale factors like 12\frac{1}{2}

Image will be smaller than the original

How to find new vertex positions when enlarging

Multiply horizontal & vertical distances by scale factor

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