Higher June 2019 Paper 2 Q6
6 \(ABC\) and \(DEF\) are similar triangles.
Diagram NOT accurately drawn
(a) Work out the length of \(DF\). (2)
(b) Work out the length of \(BC\). (2)
| Scheme | Marks |
|---|---|
\(\dfrac{15}{6}\) or \(\dfrac{6}{15}\) or \(\dfrac{4.2}{6}\) or \(\dfrac{6}{4.2}\) oe 2.5 or 0.4 or 0.7 or 1.4(2857……) | M1 |
| 10.5 | A1 |
| (2) |
Notes
M1: for a correct scale factor, accept ratio notation eg 6 : 15
A1: oe
| Scheme | Marks |
|---|---|
19.5 ÷ 2.5 or 19.5 × 0.4 oe or \(4.2 \times \dfrac{19.5}{(\text{a})}\) | M1 |
| 7.8 | A1 |
| (2) | |
| (4 marks) |
Notes
M1: If using \(DF\) ft their answer from part (a)
A1: oe