O-LevelMathematicsVectors and transformations4024/21 · May/June 2022 · Q105 Marks
The diagram shows triangles A, B and C. [Figure showing triangles A, B, C on a coordinate grid]
- (a)Describe fully the single transformation that maps triangle A onto triangle B.[2]
- (b)Find the matrix representing the transformation that maps triangle A onto triangle C.[1]
- (c)Triangle A is mapped onto triangle D by an enlargement with centre (2, 3) and scale factor 3. Draw triangle D.[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 2022). The mark or mark type is shown in brackets.
- [2] Translation (-4/3) with no further properties
- B1 for translation or (-4/3)
- [1] ( -1 0 / 0 1 )
- [2] Triangle at (-1, 0) (−1, −3) (5, -3)
- B1 for correct size and orientation, wrong centre
- After 0 scored, SC1 for enlargement with correct centre but wrong scale factor
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