4MA0 Foundation June 2012 Paper 2 Q15

EdexcelFoundationOld spec4 marksTransformations of Shapes

Grid with x from −2 to 7 and y from −3 to 5 showing flag shapes P and Q, and a cross at (2, 0)

(a) Describe fully the single transformation that maps shape P onto shape Q. (2)

(b) On the grid, rotate shape P 90° clockwise about the point (2, 0).
Label the new shape R. (2)

Mark scheme (a)

Scheme	Marks
reflection in line \(x = 1\)	B1 B1
(rotation (90° {anticlockwise}) about (1, 1)	B1 B1
	(2)

Notes

B1 B1: must be a single transformation oe for \(x = 1\)

B1 B1: must be a single transformation

CHECK: the second line, rotation 90° anticlockwise about (1, 1), is printed in the mark scheme, but it does not map shape P onto shape Q; the answer is the reflection in the line \(x = 1\).

Mark scheme (b)

Scheme	Marks
flag at (4, – 1) (5, –1) (6, – 1) (5, – 2) or triangle at (5, –1) (6, –1) (5, – 2)	B2
	(2)
	(Total 4 marks)

Notes

B2: B1 for correct orientation of flag, or triangle, but in wrong position