Shape and Space 5

3 marks · Normal

A shape is enlarged by a scale factor of 3 about the centre (0, 0). One vertex of the original shape is at (–2, 4). What are the coordinates of the corresponding vertex on the image? Show your working.

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(–6, 12)

Also accept: –6, 12

Common mistakes: scaling by addition not by multiplication

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Marking points

M1 · 1 mark · Attempts to multiply both coordinates by 3.

A1 · 2 marks · Both coordinates correct: (–6, 12). (follow-through)

Worked solution

Image vertex = scale factor × original coordinates: (–2 × 3, 4 × 3) = (–6, 12).