O-LevelMathematicsVectors and transformations4024/21 · May/June 2018 · Q87 Marks
The grid shows triangles A and B and rectangle R.
- (a)Triangle A is mapped onto triangle B by the single transformation K. Find the matrix representing transformation K.[2]
- (b)Triangle B is mapped onto triangle C by a reflection in the y-axis. On the diagram, draw triangle C.[1]
- (c)Triangle A is mapped onto triangle C by the single transformation L. Describe fully the single transformation L.[2]
- (d)Rectangle R is mapped onto rectangle S by a translation by the vector (-2, 3). On the diagram, draw rectangle S.[2]
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 2018). The mark or mark type is shown in brackets.
- [2] (0 -1; -1 0)
- [2] B1 for a correct row or column
- [1] Triangle with vertices at (2, -3) (4, -3) (2,-4)
- [2] Reflection in y = x
- [2] B1 for reflection or y = x
- [2] Rectangle with vertices at (-1, 5) (-1, 6) (2, 6) (2, 5)
- [2] B1 for R translated by (-2, k) or (k, 3)
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