O-LevelMathematicsVectors and transformations4024/12 · May/June 2017 · Q154 Marks
The diagram shows triangles A and B. [Figure: Coordinate plane with triangle A (vertices at approx (3,2), (5,1), (4,2)) and triangle B (vertices at approx (-3,-2), (-5,-1), (-4,-2))].
- (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, 90° anti-clockwise about the origin. On the diagram, draw triangle C.[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 2017). The mark or mark type is shown in brackets.
- [2] (a) Reflection
- y = -x oe
- C1 for reflection or for y = -x oe
- [2] (b) Triangle vertices (–1, 2), (–1, 5), (–2, 4)
- C1 for correct size and orientation, incorrect position
- or for 90° clockwise rotation about origin
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