O-LevelMathematicsVectors and transformations4024/11 · May/June 2017 · Q174 Marks
The diagram shows triangle A. [Figure 17.1 - A coordinate grid showing triangle A with vertices at (2,1), (3,1), (3,3).]
- (a)Triangle B is the image of triangle A after reflection in the line y=-1. Draw and label triangle B on the diagram.[1]
- (b)(i)Triangle C is the image of triangle A after a stretch, stretch factor 2 with the y-axis invariant. Draw and label triangle C on the diagram.[2]
- (b)(ii)Find the matrix representing the transformation that maps triangle A onto triangle C.[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 (May/June 2017). The mark or mark type is shown in brackets.
- [1] B drawn with vertices (2,-3) (3,-3)(3,-5)
- [2] C drawn with vertices (4,1 (6,1) (6,3) B1 for correct size triangle drawn but in wrong position or B1 for C drawn using stretch, sf 2 with x-axis invariant, vertices (2,2) (3,2) (3,6)
- [1] [ [2 0] [0 1] ]
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