O-LevelMathematicsVectors and transformations4024/11 · Oct/Nov 2018 · Q225 Marks
The diagram shows triangles A and B. [Figure 22.1]
- (a)Describe fully the single transformation that maps triangle A onto triangle B.[2]
- (b)Triangle A is mapped onto triangle C by a rotation, through 90° clockwise, centre (0, 0). Draw, and label, triangle C on the diagram.[2]
- (c)Triangle B is mapped onto triangle C by the transformation T. Find the matrix that represents the transformation T.[1]
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 (Oct/Nov 2018). The mark or mark type is shown in brackets.
- 22(a) Reflection and y = -x oe [2]
- B1 for either
- 22(b) Triangle with vertices (1,0), (3,0), (3,1) [2]
- B1 for 90° clockwise rotation with wrong centre, or for the triangle with vertices (−1,0), (-3,0), (-3,-1)
- 22(c) (-1 0 / 0 1) [1]
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