O-LevelMathematicsVectors and transformations4024/22 · May/June 2020 · Q117 Marks
[Figure 11.1, Graph with triangles A, B, C] Describe fully the single transformation that maps triangle A onto triangle B.
- (a)[Figure 11.1, Graph with triangles A, B, C] Describe fully the single transformation that maps triangle A onto triangle B.[2]
- (b)Triangle A is mapped onto triangle C by the single transformation H. Find the matrix representing H.[2]
- (c)Transformation M is a reflection in the line x = 2. Transformation R is a rotation 180° about (0, 0). Triangle A is mapped onto triangle D such that RM(A) = D. Draw and label triangle D.[3]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.
- [2] (a) Reflection y=-1
- [2] B1 for either
- [2] (b) [[0, -1], [1, 0]]
- [2] B1 for one correct row or column or Rotation, 90° anticlockwise about (0, 0)
- [3] (c) Triangle with vertices (-1, -2) (0, -2) (0, -5)
- [3] B2 for triangle with correct orientation but wrong position or B1 for triangle reflected in x = 2
- [3] After 0, SC1 for triangle with vertices (-3,-2) (-4, -2) (-4, 1)
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