Foundation November 2019 Paper 2 Q21
21 The diagram shows a kite, ABCD.
AFE and CEF are equilateral triangles.
Not to scale
(a) Write down a mathematical name for quadrilateral AFCE. [1]
(b) The ratio of angle DAE : angle EAF = 1 : 4.
Work out angle \(x\).
Write on the diagram the values of any other angles you use in your working. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Rhombus | 1 | Allow kite, parallelogram or trapezium Do not allow quadrilateral or polygon | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 105 | 4 | M1 for DEA = 60 or AFB = 60 or any angle within either equilateral triangle identified as 60 M2 for DAE = 15 or M1 for their EAF ÷ 4 soi B1FT \(x = 180 -\) their AED – their DAE | Angles may be identified in working or seen on the diagram May be implied by 15 : 60 If final answer not 105, MAX of 3 marks |