1
1 (a) Describe fully the single transformation that maps triangle A onto triangle B.
..........................................................................................................................................................
.......................................................................................................................................................... [3]
(b) On the grid, draw the image of
(i) triangle A after a reflection in the x-axis, [1]
(ii) triangle A after a translation by the vector . [2]
[Total: 6]
2 (a) Describe fully the single transformation that maps triangle T onto triangle P.
..........................................................................................................................................................
.......................................................................................................................................................... [2]
(b) Translate triangle T by the vector . [2]
(c) Rotate triangle T through 90° anticlockwise about (0, 0). [2]
(d) Enlarge triangle T by scale factor with centre (0, 0). [2]
[Total: 8]
3 Enlarge the rectangle using a scale factor of 3 and centre of enlargement O.
[2]
[Total: 2]
2
4 (a) Describe fully the single transformation that maps triangle T onto triangle U.
..........................................................................................................................................................
.......................................................................................................................................................... [3]
(b) On the grid, draw the image of triangle T after a rotation through 90° clockwise about the point
(7, 3).
[3]
[Total: 6]
5 The diagram shows three triangles A, B and C.
(a) Describe fully the single transformation that maps triangle A onto triangle B.
..........................................................................................................................................................
.......................................................................................................................................................... [3]
3
(b) Describe fully the single transformation that maps triangle A onto triangle C.
..........................................................................................................................................................
.......................................................................................................................................................... [3]
(c) Draw the image of
(i) triangle A after a translation by the vector , [2]
(ii) triangle A after a reflection in the line y = −3. [2]
[Total: 10]
The diagram shows a quadrilateral PQRS which is made from four congruent triangles A, B, C and D.
(a) Describe fully the single transformation that maps
(i) triangle A onto triangle B,
................................................................................................................................................
................................................................................................................................................ [2]
4
(ii) triangle A onto triangle C.
................................................................................................................................................
................................................................................................................................................ [3]
(b) On the grid, draw the image of triangle D after a translation by the vector . [2]
[Total: 7]
7 (a) Describe fully the single transformation that maps
(i) triangle A onto triangle B,
................................................................................................................................................
................................................................................................................................................ [2]
(ii) triangle A onto triangle C,
................................................................................................................................................
................................................................................................................................................ [3]
(iii) triangle A onto triangle D.
................................................................................................................................................
................................................................................................................................................ [3]
(b) On the grid, draw the image of triangle A after an enlargement by scale factor 2, centre (7, 3). [2]
[Total: 10]
(a) (i) Draw the image of triangle A after a reflection in the line x = 2. [2]
(ii) Draw the image of triangle A after a translation by the vector . [2]
(iii) Draw the image of triangle A after an enlargement by scale factor , centre (3, 1). [3]
(b) Describe fully the single transformation that maps triangle A onto triangle B.
..........................................................................................................................................................
.......................................................................................................................................................... [3]
[Total: 10]
5
Describe fully the single transformation that maps
(a) shape A onto shape B,
..........................................................................................................................................................
.......................................................................................................................................................... [3]
(b) shape A onto shape C.
..........................................................................................................................................................
.......................................................................................................................................................... [3]
[Total: 6]
6
y
3
2
A
1
x
–4 –3 –2 –1 0 1 2 3 4 5
–1
–2
–3
10 Draw the image of the shape A after a translation by the vector . [2]
[Total: 2]
y
3
2
A
1
x
–4 –3 –2 –1 0 1 2 3 4 5
–1
–2
–3
11 Draw the image of shape A after a translation by the vector . [2]
[Total: 2]
7
12
y
6
3
S
2
T
1
x
0
1 2 2 4 5 6 7 8 9
Describe fully the single transformation that maps triangle S onto triangle T.
Answer......................................................................................................................................................
.................................................................................................................................................................. [3]
[Total: 3]
8
y
7
4
A
3
x
–7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5
–1
–2
–3
13 Draw the image of triangle A after a translation by the vector . [2]
[Total: 2]
