Higher November 2023 Paper 3 Q18
18
(a) Enlarge triangle P by scale factor \(-1\tfrac{1}{2}\) with centre of enlargement \((-2, -1)\)
Label your image Q. (2)
Label your image Q. (2)
Triangle P is transformed by a combined transformation of a rotation of 90° anticlockwise about the origin followed by a translation to give triangle R.
Exactly one vertex of triangle P is invariant under the combined transformation.
(b) Find one possible column vector for the translation. (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| Triangle drawn | B2 | for correct enlargement at \((7, -10)\) \((4, -4)\) \((7, -4)\) |
| (B1 | for triangle of correct size and orientation in the wrong position or for 2 vertices correct) |
Additional guidance
Label not necessary provided intention is clear
| Answer | Mark | Mark scheme |
|---|---|---|
| Correct vector | C1 | for \(\begin{pmatrix} -5 \\ 7 \end{pmatrix}\) or \(\begin{pmatrix} -7 \\ 9 \end{pmatrix}\) or \(\begin{pmatrix} -3 \\ 13 \end{pmatrix}\) |