4400 Higher November 2010 Paper 4 Q7
7

(a) On the grid, enlarge triangle P with scale factor 3 and centre (3, 4).
Label the new triangle Q. (3)
Label the new triangle Q. (3)
(b) On the grid, translate triangle Q by the vector \(\begin{pmatrix} 4 \\ -8 \end{pmatrix}\)
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 |
|---|---|
| Q correct Vertices (6, 10) (9, 10) (6, 16) | B3 |
| (3) |
Notes
B3: B2 for translation of correct shape or 2 correct vertices
B1 for right-angled triangle with base 3 or height 6 in the same orientation as P
| Scheme | Marks |
|---|---|
| R correct Vertices (10, 2) (13, 2) (10, 8) | B2 |
| (2) |
Notes
B2: for R correct or ft their Q
B1 for translation of 4 to the right or 8 down ft their Q
| Scheme | Marks |
|---|---|
| Enlargement with scale factor 3 and centre (1, 8) | B2 |
| (2) | |
| (7 marks) |
Notes
B2: B1 for Enlargement 3
B1 for (1, 8)
Award no marks if answer is not a single transfn