O-LevelMathematicsVectors and transformations4024/21 · Oct/Nov 2017 · Q1012 Marks
Triangle A is shown on the grid.
- (a)(i)Triangle A is mapped onto triangle B by a rotation of 180° about point (2, -1). Draw and label triangle B on the grid.[2]
- (a)(ii)Triangle A is mapped onto triangle C by the transformation represented by the matrix (3 0 / 0 3). Draw and label triangle C on the grid.[2]
- (a)(iii)Write down the matrix that represents the transformation that maps triangle C onto triangle A.[1]
- (a)(iv)Describe fully the single transformation that maps triangle C onto triangle B.[3]
- (b)(i)Find SR.[2]
- (b)(ii)T is the point on SR such that ST : TR = 1 : 3. Find PT.[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 (Oct/Nov 2017). The mark or mark type is shown in brackets.
- [2] B1 for translation of correct triangle B
- [2] Triangle B at (2, -3), (3, -3), (3, -5)
- [2] B1 for two vertices correct or for (3 0 / 0 3)(1 2 1 / 1 1 3) oe
- [2] Triangle C at (3, 3), (3, 9), (6, 3)
- [1] (1/3 0 / 0 1/3) oe
- [3] B1 for each
- [3] Enlargement Centre (3, -1.5) SF 1/3
- [2] B1 for one component correct
- [2] or M1 for (2/3) - (-2) / (3/8) oe
- [2] (4 / -8)
- [2] B1 for one component correct
- [2] or M1 for (1/4) * (their SR) or -(3/4) * (their SR) soi
- [2] (3/1)
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