4400 Higher June 2009 Paper 4 Q7

EdexcelHigherOld spec4 marksTransformations of Shapes

7 The diagram shows a parallelogram.

(a) On the grid, rotate the parallelogram through \(90^\circ\) anticlockwise about the point \(O\).

Square grid with a parallelogram and the point O marked inside it

(2)

(b)

Coordinate grid, x and y from -5 to 5, with triangle Q in the second quadrant and triangle P in the fourth quadrant

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

Scheme	Marks
Correct ± 2 mm	B2
	(2)

Mark scheme (b)

Scheme	Marks
Translation	B1
\(\begin{pmatrix} -4 \\ 5 \end{pmatrix}\)	B1
	(2)
	(4 marks)

Notes

B1: translate or translated

B1: or −4 in \(x\) dir’n, or 4 to left or 4 west (not backwards or across)
AND 5 in \(y\) dir’n or 5 up or 5 north
(not (−4, 5) or vectors without brackets)
penalise contradictions