Paper 22 Q10(c)IGCSE 0580 May/June 2023

Question

Enlarge shape A by scale factor -2, centre (2, 0).

This question tests your ability to enlarge a shape using a negative scale factor, which creates an enlargement on the opposite side of the centre of enlargement. Negative scale factors are a key transformation concept that appears frequently on IGCSE papers.

Step-by-Step Solution

Key Takeaway

A negative scale factor creates an enlargement on the opposite side of the centre of enlargement, with the image rotated 180° from the original position.

Common Mistakes

Forgetting that the scale factor is negative, so just multiplying by 2 instead of -2, which puts the image on the wrong side of the centre
Not using the centre of enlargement correctly in the calculation, instead just multiplying the original coordinates by the scale factor

Exam Tip

Always check your final image is on the opposite side of the centre when using a negative scale factor - if it's not, you've likely made an error with the signs.

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