Higher June 2023 Paper 1 Q4
4 The diagram shows a sketch of triangle A and triangle B on a coordinate grid.
Diagram NOT accurately drawn
(a) Given that triangle A has been translated to give triangle B, work out the value of \(d\), the value of \(e\) and the value of \(f\) (3)
The diagram shows shape P and shape Q drawn on a grid.
(b) Describe fully the single transformation that maps shape P onto shape Q (3)
(c) On the grid above, rotate shape P 90° clockwise about \((3, 5)\)
Label your shape R (2)
Label your shape R (2)
| Scheme | Marks |
|---|---|
eg \(\begin{pmatrix} 6 - -7 \\ 12 - 2 \end{pmatrix}\left[= \begin{pmatrix} 13 \\ 10 \end{pmatrix}\right]\) or \(\begin{pmatrix} -7 - 6 \\ 2 - 12 \end{pmatrix}\left[= \begin{pmatrix} -13 \\ -10 \end{pmatrix}\right]\) | M1 |
| M1 | |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: \(d = 5\), \(e = 7\), \(f = -4\) | A1 |
| (3) |
Notes
M1: with or without brackets,
allow 13 right and 10 up or (13, 10)
or 13 left and 10 down or (−13, −10)
or for one of −5 + 10 (= 5) or −3 + 10 (= 7) or 9 – 13 (= −4)
M1: for two of −5 + 10 (= 5) or −3 + 10 (= 7) or 9 – 13 (= −4)
| Scheme | Marks |
|---|---|
| Enlargement | B1 |
| Scale factor 3 | B1 |
| Centre (0, 2) | B1 |
| (3) |
Notes
B1: with no mention of any other transformation or words such as move, flip, shift
B1: with no mention of a vector, angle of rotation or line of symmetry
| Scheme | Marks |
|---|---|
| Correct shape with coordinates (0, 5), (1, 6), (3, 6), (1, 5) | B2 |
| (2) | |
| (8 marks) |
Notes
B2: B1 for a correct shape with the correct orientation in the incorrect position or for 3 out of 4 vertices correct or for a correct rotation of 90° anticlockwise about (3, 5)