Higher November 2021 Paper 2 Q8
8
Describe fully the single transformation that maps triangle \(ABC\) to triangle \(ADE\). [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Enlargement | B1 | |
| \(\dfrac{1}{4}\) | B1 | scale factor oe eg 0.25 |
| (3, 9) or \(A\) | B1 | centre do not allow \(\begin{pmatrix} 3 \\ 9 \end{pmatrix}\) |
Additional guidance
| Do not accept reduction or unenlargement or negative | 1st B0 |
| Do not accept \(\div\, 4\) | 2nd B0 |
| A combination of transformations cannot score the first B1 eg1 Enlarge sf \(\dfrac{1}{4}\) Translate \(\begin{pmatrix} 0 \\ 6 \end{pmatrix}\) eg2 Enlarge sf \(\dfrac{1}{4}\) 1.5 right up 6 (3, 9) | B0B1B0 B0B1B1 |
| Do not allow \(\begin{pmatrix} 3 \\ 9 \end{pmatrix}\) for (3, 9) but do not regard as implying a combination of transformations eg Enlargement sf 0.25 \(\begin{pmatrix} 3 \\ 9 \end{pmatrix}\) | B1B1B0 |
| Enlargement, sf 4 about (3, 9) | B1B0B1 |
| Enlarge(d) 0.25 \(A\) | B1B1B1 |
| Condone \(ABC\) is an enlargement of \(ADE\) | 1st B1 |
| Condone enlargement with other words unless referring to another transformation | |
| eg1 Enlargement making shapes bigger | 1st B1 |
| eg2 Enlarged then moved using a vector | 1st B0 |
| eg3 Enlarged which means \(B\) moves to \(D\) and \(C\) moves to \(E\) | 1st B1 |
| If more than one point is listed it must be clear which point is their centre eg (1, 1) (5, 1) (3, 9) (2, 7) | 3rd B0 |
| Reflected in the point (3, 9) | B0B0B1 |