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Transformations - AQANegative enlargements - Higher

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape.

Part ofMathsGeometry and measure

Negative enlargements - Higher

Click to explore updated revision resources for GCSE Maths: Negative enlargements, with step-by-step slideshows, quizzes, practice exam questions, and more!

An enlargement with a negative produces an image on the other side of the centre of enlargement.

Rectangle (ABCD) enlarged by -1/2 to produce rectangle (A'B'C'D')

The rectangle ABCD has been enlarged by a scale factor of \(-\frac{1}{2}\).

The lengths in rectangle A'B'C'D' are \(\frac{1}{2}\) times as long as rectangle ABCD. The distance from O to A'B'C'D' is half the distance from O to ABCD.

Example

Image gallerySkip image gallerySlide1 of 3, Shape (EFGH), Enlarge the quadrilateral EFGH by a scale factor of -½ about the centre of enlargement O