O-LevelMathematicsVectors and transformations4024/21 · Oct/Nov 2019 · Q38 Marks

Shape A and shape B are drawn on the grid. [Figure 3 Grid with shapes A and B]

(a)Describe fully the enlargement that maps shape A onto shape B.[2]
(b)Shape A is mapped onto shape C by a rotation of 90° clockwise, centre (1, 0). Draw and label shape C on the grid.[2]
(c)(i)Transformation P is represented by the matrix `(0 -1; -1 0)` P maps shape A onto shape D. Draw and label shape D on the grid.[2]
(c)(ii)Describe fully the single transformation P.[2]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.

[2] Centre (7, 1), scale factor 2 B1 for each
[2] Correct rotation, vertices (3, 0), (4, 0), (4, -2), (3, -1) B1 for correct size and orientation but wrong position or SC1 for correct anticlockwise rotation about (1, 0) vertices (-1, 0), (-2, 0), (-1, 1), (-2, 2)
[2] Correct transformation, vertices (-2, -1),(-3,-1), (-3, -3), (-2, -2) B1 for three vertices correct or three correct pairs of coordinates soi
[2] Reflection in y = -x oe B1 for reflection B1 for y = -x oe

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