4MA0 Higher January 2012 Paper 4 Q12
12
(a) Describe fully the single transformation which maps triangle P onto triangle Q. (3)
(b) On the grid, translate triangle Q by the vector \(\begin{pmatrix} 4 \\ -2 \end{pmatrix}\)
Label the new triangle R. (1)
Label the new triangle R. (1)
(c) Describe fully the single transformation which maps triangle P onto triangle R. (2)
| Scheme | Marks |
|---|---|
| Rotation | B1 |
| 90° | B1 |
| (0, 0) | B1 |
| (3) |
Notes
B1: Also accept quarter turn or −270° (B0 for 90° clockwise)
B1: Also accept origin, O
These marks are independent but award no marks if the answer is not a single transformation
Apart from Questions 3, 13(b) and 17(f) (where the mark scheme states otherwise), the correct answer, unless clearly obtained by an incorrect method, should be taken to imply a correct method.
| Scheme | Marks |
|---|---|
| R correct | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| Rotation 90° | B1 |
| (3, 1) | B1 |
| (2) | |
| (Total 6 marks) |
Notes
B1: Accept quarter turn or −270° instead of 90°
B1: ft from their R if it is a translation of the correct R
As for (a): these marks are independent but award no marks if the answer is not a single transformation