Higher June 2017 Paper 4 Q11
11 Triangle T is drawn on a coordinate grid.
(a) Translate triangle T using the vector \(\begin{pmatrix} -3 \\ 1 \end{pmatrix}\). [2]
(b) Describe fully the single transformation that represents the following.
(i) A rotation with centre (0, 0) of 180° followed by
a rotation with centre (0, 0) of 90° clockwise. [2]
a rotation with centre (0, 0) of 90° clockwise. [2]
(ii) A reflection in the \(x\)-axis followed by a reflection in the \(y\)-axis. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Correct translation | 2 | B1 for a correct horizontal translation or a correct vertical translation | Condone freehand, points must be joined for 2 marks, B1 if all correct and not joined |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (i) rotation (0,0) oe | 1 | if 0 scored M1 for the triangle/dots on the grid correctly rotated twice | Double transformation can only score M1 |
| 90° [anticlockwise] oe | 1 | for centre allow origin and O and for angle allow e.g. -270°, 270° clockwise | |
| (ii) Rotation | 1 | if 0 scored M1 for the triangle /dots on the grid correctly reflected twice or SC2 for “rotation (0,0) oe, 90°” written twice for centre allow origin and O | Allow enlargement (0,0) [sf=] -1 for 3 marks Other double transformations can only score M1 |
| (0,0) oe | 1 | ||
| 180° | 1 | ||