O-LevelMathematicsVectors and transformations4024/21 · Oct/Nov 2022 · Q711 Marks

[Figure 7.1] (Grid with Shape A and Shape B)

(a)Describe fully the single transformation that maps shape A onto shape B.[2]
(b)Reflect shape A in the x-axis.[1]
(c)Enlarge shape A by scale factor 2, centre (5, 4).[2]
(d)(i)Transformation P is represented by the matrix (0, -1; 1, 0). P maps shape A onto shape C. Draw and label shape C.[2]
(d)(ii)Describe fully the single transformation that maps shape A onto shape C.[3]
(d)(iii)Find the matrix representing the transformation that maps shape C onto shape A.[1]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.

[2] (a) Translation (2, -5) oe; B1 for each
[1] (b) Correct reflection (3, -3), (3, -4), (2, -4), (1, -3)
[2] (c) Correct enlargement (1, 2), (1, 4), (-1, 4), (-3, 2); B1 for correct size and orientation, wrong centre
[2] (d)(i) Correct transformation (-3, 3), (-3, 1), (-4, 2), (-4, 3); B1 for three vertices correct or three correct pairs of coordinates soi
[3] (d)(ii) Rotation 90 anticlockwise oe (0, 0) oe; B1 for each
[1] (d)(iii) (0, 1; -1, 0)

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