Transformations – WJECNegative enlargements - Higher

In this GCSE Mathletics study guide, we'll go through what happens when shapes are reflected, as well as the different centres of rotation and enlargement and congruent shapes. Transformations change the size or position of shapes. Congruent shapes are identical. Scale factors calculate area and volume of similar shapes.

Part ofMathsGeometry and Measure

Negative enlargements - Higher

An enlargement with a negative produces an image on the other side of the centre of enlargement. The image appears upside down.

Rectangle ABCD in quadrant 1 enlarged by a scale factor of minus half, to produce the smaller rectangle A'B'C'D' in quadrant 3

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, The quadrilateral EFGH in quadrant 1 with the centre of enlargement O at the origin, Enlarge the quadrilateral EFGH by a scale factor of -½ about the centre of enlargement O