4MA0 Foundation January 2014 Paper 2 Q16
16 The diagram shows a shape P, a shape Q and a line \(AB\).
(a) Write down an equation of the line \(AB\). (1)
(b) Reflect shape P in the line \(AB\). (2)
(c) Describe fully the single transformation which maps shape P onto shape Q. (3)
| Scheme | Marks |
|---|---|
| \(x = 6\) oe | B1 |
| (1) |
Notes
B1: Accept \(x - 6 = 0\)
| Scheme | Marks |
|---|---|
| Shape P in correct position | B2 |
| (2) |
Notes
B2: Vertices at (8,2) (8,4) (9,4) (9,3) (11,4) & (11,2)
If not B2 then:
• B1 for correct reflection in line \(x = k\) where \(k \ne 6\)
• or at least 2 vertices in correct position.
| Scheme | Marks |
|---|---|
| rotation | B1 |
| 90° clockwise or −90° | B1 |
| (centre) (0,0) or O or origin | B1 |
| (3) | |
| (Total 6 marks) |
Notes
B1: accept 270° or 270° anticlockwise.
B1: condone lack of brackets around 0,0
Award no marks if multiple transformations.