Higher January 2021 Paper 2R Q5
5 Here is a shape P drawn on a grid of squares.

(a) On the grid, rotate shape P 180° about the point \((-3, 2)\)
Label the new shape Q. (2)
Label the new shape Q. (2)
(b) On the grid, translate shape P by the vector \(\begin{pmatrix} 10 \\ 8 \end{pmatrix}\)
Label the new shape R. (1)
Label the new shape R. (1)
Here are triangle T and triangle U drawn on a grid of squares.

(c) Describe fully the single transformation that maps triangle T onto triangle U. (3)
| Scheme | Marks |
|---|---|
| vertices at (–9, 6) (–9, 9) (–3, 9) (–6, 6) Answer: Shape in correct position | B2 |
| (2) |
Notes
B2: B1 for congruent shape in correct orientation but wrong position
or quadrilateral with 2 or 3 vertices correct.
| Scheme | Marks |
|---|---|
| vertices at (7, 3) (10, 6) (13, 6) (13, 3) Answer: Shape in correct position | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| enlargement | B1 |
| scale factor 2 | B1 |
| centre (– 3, 3) | B1 |
| (3) | |
| (6 marks) |
Notes
B1: for enlargement, enlarge, etc so long as no mention of rotation, reflection or translation, flip, move etc.
B1: SF 2, double, two times etc.
B1: (– 3, 3) stated. Accept about, from etc. with no mention of line, or column vector.