4MA0 Higher June 2016 Paper 3R Q8

EdexcelHigherOld spec4 marksTransformations of Shapes

Grid with x and y from −5 to 5 showing shape P with vertices (−3, 1), (−3, 3), (−2, 3), (−2, 2) and shape Q with vertices (2, −3), (2, −1), (3, −1), (3, −2)

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

(b) Rotate shape Q 90° clockwise about (1,0)
Label the new shape R. (2)

Mark scheme (a)

Scheme	Marks
Translation 5 to the right and 4 down	B2
	(2)

Notes

B2: B1 for translation
B1 for 5 to the right and 4 down or \(\begin{pmatrix} 5 \\ -4 \end{pmatrix}\)
These marks are independent but award no marks if the answer is not a single transformation.

Mark scheme (b)

Scheme	Marks
R correct	B2
	(2)

Notes

B2: (– 2, – 1 ), ( 0, – 1 ), (0, – 2 ), (– 1, – 2 ),
Condone omission of label
B1 for 90° anticlockwise rotation about (1,0) or for Correct orientation but incorrect position.