4MA0 Higher January 2017 Paper 4 Q11
11
(a) On the grid, reflect triangle Q in the line \(x = 1\)
Label the new triangle R. (2)
Label the new triangle R. (2)
Triangle R is mapped onto triangle S by a reflection in the line \(y = 0\)
(b) Describe fully the single transformation that maps triangle Q onto triangle S. (3)
| Scheme | Marks |
|---|---|
| M1 | |
| triangle drawn (−3, 0) (−1, −3), (−3, −2) | A1 |
| (2) |
Notes
M1: For clearly identifying the line \(x = 1\)
or
For a reflection in any vertical line
A1: SCB1 for a correct reflection in \(y = 1\)
| Scheme | Marks |
|---|---|
| S (−3, 0), (−3, 2), (−1, 3) | M1 |
| rotation of 180° with centre (1, 0) | A1 |
| A1 | |
| (3) | |
| (5 marks) |
Notes
M1: Ft for S
A1: rotation180° oe or
Enlargement sf = −1
A1: (1, 0)
SCB2 for a fully correct description of their transformation if S is in the incorrect position
Note: Award M1A1A1 for a correct description even if S not drawn
Award no Answer marks if more than one transformation is given.