AQA · Mathematics · 8300
GCSE Maths: Enlargements: negative scale factor
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Enlargements: negative scale factor (Corbettmaths Video 108), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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What happens to the position of an enlarged shape when the scale factor is negative?
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The enlarged shape appears on the opposite side of the centre of enlargement.
What effect does a scale factor of −2 have on the distances from the centre of enlargement?
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Distances are doubled and the image is positioned on the opposite side of the centre.
What effect does a scale factor of −1/2 have on the size of a shape?
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The shape becomes half the original size and appears on the opposite side of the centre of enlargement.
What information is needed to fully describe an enlargement transformation?
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The scale factor and the centre of enlargement (as coordinates or a point).
Can an enlargement make a shape smaller?
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Yes, when the scale factor is between −1 and 1 (e.g., −1/2 or 1/2).
When enlarging by scale factor −2 with the origin as centre, what happens to point (3, 4)?
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It maps to (−6, −8). Multiply each coordinate by −2.
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