Higher November 2017 Paper 1 Q16
16. In the diagram,
- ACE is a triangle,
- BCDFG is a regular pentagon.
Diagram not drawn to scale
Prove that triangle ABG is congruent to triangle EDF.
Give a reason for each statement you make in your proof. [5]
| Scheme | Marks | Comments |
|---|---|---|
| BG = DF (pentagon regular, given) | B1 | |
| Angle AGB = angle EFD (exterior angles of regular pentagon) | B1 | |
| Angle ABG = angle EDF (exterior angles of regular pentagon) | B1 | |
| All necessary reasons given | E1 | Allow exterior angles of a regular pentagon to be stated once only. |
| (Triangles are congruent) ASA | B1 | Dependent on all previous marks having been awarded. |
| (5) |