4400 Higher June 2010 Paper 3 Q9
9
(a) Describe fully the single transformation which maps triangle P onto triangle Q. (2)
(b) Rotate triangle Q through 90° anti-clockwise about the point (−1, 1).
Label the new triangle R. (2)
Label the new triangle R. (2)
(c) Describe fully the single transformation which maps triangle P onto triangle R. (2)
| Scheme | Marks |
|---|---|
| reflection in the line \(y = -x\) | B2 |
| (2) |
Notes
B2: B1 for reflection
B1 for \(y = -x\) oe [accept eg “in dotted line” or “in line through (−5, 5) and (5, −5)”]
These marks are independent but award no marks if the answer is not a single transformation
| Scheme | Marks |
|---|---|
| R correct Vertices are (2, −1) (3, −1) (3, −3) | B2 |
| (2) |
Notes
B2: B1 for 2 vertices correct
or for a translation of R
or for a 90° clockwise rotation of Q about (−1, 1)
| Scheme | Marks |
|---|---|
| reflection in the line \(y = 1\) | B2 |
| (2) | |
| (6 marks) |
Notes
B2: B1 for reflection
B1 for \(y = 1\) oe [accept eg “in a horizontal line through (0, 1)”] ft from (b), if B1 scored in (b)
As in (a): these marks are independent but award no marks if the answer is not a single transformation