O-LevelMathematicsVectors and transformations4024/22 · Oct/Nov 2017 · Q48 Marks

(a) Triangle A is shown on the grid. [Figure Triangle A on grid] (b) Triangle P is shown on the grid. [Figure Triangle P on grid]

(a)(i)Triangle A is mapped onto triangle B by a translation of ( 7 ) ( -5 ) Draw and label triangle B on the grid.[2]
(a)(ii)Triangle A is mapped onto triangle C by an enlargement scale factor –2, centre (–1, 2). Draw and label triangle C on the grid.[2]
(b)(i)The stretch S is represented by the matrix ( 3 0 ) ( 0 1 ) Triangle P is mapped onto triangle Q by the stretch S. On the grid above, draw and label triangle Q.[2]
(b)(ii)Describe fully the stretch S.[2]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.

[2] (a)(i) Triangle B at (4, −1), (4, −4), (5, −4)
B1 For triangle B the correct size and orientation
[2] (a)(ii) Triangle C at (1, 4), (3, 4) (3, -2)
B1 for correct size and orientation, incorrect position
or for triangle with two vertices correct
or for triangle at (-3, 0), (-5, 0), (-5, 6)
[2] (b)(i) Triangle Q at (3, 1), (9, 1), (6, 3)
B1 for coordinates (3, 1), (9, 1) and (6, 3) soi or for triangle with two vertices correct
[2] (b)(ii) (Stretch) factor 3
y-axis invariant or parallel to x-axis
B1 for either

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