Foundation January 2019 Paper 1 Q16
16

(a) Describe fully the single transformation that maps triangle A onto triangle B. (3)
(b) On the grid, translate triangle A by the vector \(\begin{pmatrix} 2 \\ -5 \end{pmatrix}\)
Label the new triangle C. (1)
Label the new triangle C. (1)

(c) On the grid, enlarge triangle D with scale factor \(\dfrac{1}{2}\) and centre \((-4, 2)\) (2)
| Scheme | Marks |
|---|---|
| Rotation, 90° clockwise, centre (−2, 3) | B1 B1 B1 |
| (3) |
Notes
B1 for rotation
B1 90° clockwise or −90° (or 270° anticlockwise)
B1 (centre) (−2, 3)
Note: Do not accept \(\begin{pmatrix} -2 \\ 3 \end{pmatrix}\) for centre
Award no marks if more than one transformation explicitly stated (the sight of a vector is not a second transformation) eg. moved and then rotated; rotation and translation
| Scheme | Marks |
|---|---|
| Triangle at (−2, 2), (−2, 4), (−1, 4) | B1 |
| (1) |
Notes
B1: cao
| Scheme | Marks |
|---|---|
| Triangle at (−2, 1), (−2, 3), (−1, 3) | B2 |
| (2) | |
| (6 marks) |
Notes
B2: If not B2 then award B1 for a triangle of the correct size and orientation or the wrong size but enlarged correctly from (−4, 2) with a sf other than 0.5 e.g. a triangle at (4, −2), (4, 6), (8, 6)