Foundation January 2022 Paper 1 Q15

EdexcelFoundationCurrent spec4 marksTransformations of Shapes

Grid with x and y from −5 to 5; shape X is an L-shape made of the rectangle from (1, 1) to (4, 2) and the square from (3, 2) to (4, 3)

(a) On the grid above, rotate shape X 90° clockwise about \(O\) (2)

Grid with x from 0 to 10 and y from 0 to 5 showing shapes A and B; A has a base from (1, 3) to (5, 4) with a square on top from (2, 4) to (3, 5); B has a base from (5, 1) to (9, 2) with a square on top from (6, 2) to (7, 3)

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

The rotated L-shape with vertices (1, −1), (2, −1), (2, −3), (3, −3), (3, −4), (1, −4) — Mark scheme (a)

Scheme	Marks
	B2
	(2)

Mark scheme (b)

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

Notes

B1: Translation (with none of reflection, rotation, enlargement, mirrored, turned or flipped stated)

B1: \(\begin{pmatrix} 4 \\ -2 \end{pmatrix}\) (award if no equation of line or angle of rotation or centre of rotation or scale factor or centre of enlargement mentioned)