O-LevelMathematicsVectors and transformations4024/21 · May/June 2024 · Q68 Marks

Triangle A is mapped onto triangle P by a translation of (¹₋₃). Draw triangle P.

(a)Triangle A is mapped onto triangle P by a translation of (¹₋₃). Draw triangle P.[2]
(b)Describe fully the single transformation that maps triangle A onto triangle B.[3]
(c)Transformation M is a reflection in the line y = −1. Transformation R is a rotation 90° clockwise about (1, 1). RM(B) = Q. Draw triangle Q.[3]

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Mark scheme

Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.

[2] Triangle with vertices (5, -2) (7, -2) and (5, -6)
[2] B1 for translation of (4/k) or (k/-3)
[3] Enlargement
[3] B1 for each
[3] [Scale factor] -1/2 oe
[3] [Centre] (0, 1)
[3] Triangle with vertices (-5, 4) (-3, 4) and (-3, 5)
[3] B2 for triangle with vertices (-2, -5) (-2, -3) and (-3, -3) seen
[3] or B1 for triangle Q correct size and orientation but wrong position
[3] After 0 scored, SC2 for triangle Q at (3, -6) (1, -6) and (1, -7)
[3] or SC1 for triangle Q at (3, 2) (1, 2) and (1, 1) or triangle Q at (7, -2) (5, -2) and (5, -3)

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