Foundation June 2022 Paper 2 Q14

EdexcelFoundationCurrent spec4 marksTransformations of Shapes

Grid with x and y from -6 to 6; shape A with vertices (2, 1), (4, 1), (4, 3), (3, 3), (3, 4), (2, 4); shape B with vertices (-2, -1), (-4, -1), (-4, -3), (-3, -3), (-3, -4), (-2, -4)

(a) Describe fully the single transformation that maps shape A onto shape B. (2)

(b) On the grid, reflect shape A in the line with equation \(x = -1\) (2)

Mark scheme (a)

Scheme	Marks
Rotation, rotate, rotated (not turn) Answer: rotation	B1
180° about (0, 0) or \(O\)	B1
	(2)

Notes

B1: oe with no mention of reflection, translation, enlargement, move, flip etc

B1: oe with no mention of a line, column vector or SF

(SCB1 for ‘half turn about (0, 0) or \(O\)’ with no contradictory statements)

Alternative: B2 for enlargement with centre \(O\) and SF \(-1\) (B1 for enlargement with no mention of other transformation, B1 for centre \(O\) and SF \(-1\))

Mark scheme (b)

Scheme	Marks
\((-4, 1)(-6, 1)(-6, 3)(-5, 3)(-5, 4)(-4, 4)\) Answer: A correct shape	B2
	(2)
	(4 marks)

Notes

B2: (B1 for a ‘correct’ shape reflected in any vertical line
or
a correct reflection in the line \(y = -1\)
or
reflection of shape B in the line \(x = -1\))