Higher June 2022 Unit 1 Q5
5. In the diagram:
- \(AB\) and \(ED\) are parallel
- triangles \(ABC\) and \(DEC\) are similar.
Diagram not drawn to scale
(a) Calculate the length of \(CE\). [2]
(b) Calculate the length of \(AB\). [2]
| Scheme | Marks | Comments |
|---|---|---|
| (\(CE\) = ) 8 × \(\dfrac{15}{10}\) or 8 ÷ \(\dfrac{10}{15}\) | M1 | Or equivalent M1 for correct use of linear ratio. |
| = 12 (cm) | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| (\(AB\) = ) 10·5 × \(\dfrac{10}{15}\) or 10·5 ÷ \(\dfrac{15}{10}\) or equivalent | M1 | Or equivalent M1 for correct use of linear ratio. |
| = 7 (cm) | A1 | FT ‘their scale factor’ from (a) provided not 1. |