More Transformation Stuff (Edexcel GCSE Maths): Flashcards

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More transformation stuff
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Multiple transformations can be replaced by?

A single equivalent transformation

How to find single transformation from multiple ones?

Compare original & final positions (ignore intermediate)

Result of reflecting in x-axis then y-axis?

180° rotation about origin

For scale factor nn, how do lengths change?

Multiply by nn

For scale factor nn, how do areas change?

Multiply by n2n^2

For scale factor nn, how do volumes change?

Multiply by n3n^3

Why do areas scale by n2n^2?

Area has 2 dimensions (length × width)

Why do volumes scale by n3n^3?

Volume has 3 dimensions (length × width × height)

Scale factor from lengths formula?

n=new lengthold lengthn = \frac{\text{new length}}{\text{old length}}

Scale factor from areas formula?

n=new areaold arean = \sqrt{\frac{\text{new area}}{\text{old area}}}

Scale factor from volumes formula?

n=new volumeold volume3n = \sqrt[3]{\frac{\text{new volume}}{\text{old volume}}}

Pattern of scale factor powers?

nn for length, n2n^2 for area, n3n^3 for volume

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