Intermediate June 2022 Unit 1 Q15
15. 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 = ) \(8 \times \dfrac{15}{10}\) or \(8 \div \dfrac{10}{15}\) | M1 | Or equivalent M1 for correct use of linear ratio. |
| = 12 (cm) | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| (AB = ) \(10{\cdot}5 \times \dfrac{10}{15}\) or \(10{\cdot}5 \div \dfrac{15}{10}\) or equivalent | M1 | Or equivalent M1 for correct use of linear ratio. |
| = 7 (cm) | A1 | FT ‘their scale factor’ from (a) provided not 1. |