Foundation June 2017 Paper 1 Q27
27. In the diagram below, ABCDEF is a regular hexagon.
Explain why triangle BDF is equilateral. [3]
Diagram not drawn to scale
| Scheme | Marks | Comments |
|---|---|---|
| (Hexagon is regular so) all sides equal or interior angles 120° or equivalent or it has (6) lines of symmetry | B1 | Angles may be marked on diagram May be implied by use of isosceles triangles later. |
| Triangles ABF, BCD, DEF are congruent or ABF = 30° or valid comment such as ‘Three of the lines of symmetry are also lines of symmetry of the triangle’ | B1 | Allow “the same” or equivalent for “congruent”. |
| Valid explanation e.g. ‘The 3 sides BF, BD and DF are the same length’ or ‘Each interior angle of the triangle is 120° – 2 × 30° = 60°’ | E1 | E1 is dependent on B2 being awarded. |
| (3) |