Higher November 2017 Paper 5 Q5

OCRHigherCurrent spec7 marksTransformations of Shapes

5 Here is a coordinate grid.

Grid with x from −6 to 6 and y from −6 to 8; shaded triangle A with vertices (1, 1), (1, 4) and (3, 1); triangle B with vertices (3, 4), (3, 5.5) and (4, 4)

(a) Draw the image of triangle A after a reflection in the line \(y = -1\). [2]

(b) Describe fully the single transformation that maps triangle A onto triangle B. [3]

(c) Complete this statement.A rotation of 180° around (0, 0) has the same effect as an enlargement by scale factor .................... with centre of enlargement (.......... , ..........). [2]

Mark scheme (a)

Answer	Marks	Part marks and guidance
Image at (1, –3), (3, –3), (1, –6)	2	B1 for reflection in any horizontal line or for reflection in \(x = -1\)	Use overlay mark intention isw other shapes