# transformations

Document Sample

```					1.

y
6

5

4

3

2

1

0
–2   –1                1   2       3       4       5   6     7   8 x
–1

–2

(a)    Draw the line y = 2 on the grid above.
(1)

(b)    Reflect the shaded triangle in the line y = 2.
(1)
(Total 2 marks)

2.    (a)

y
6

5

4

3

2

1

0
–2   –1             1        2   3       4       5       6   7   8 x
–1

–2

(i)    Draw the line y = 2 on the grid above.
(1)

(ii)   Reflect the shaded triangle in the line y = 2.
(1)

Blessed Trinity RC College                                                                               1
(b)

y
5

4

3

2

1

x
–6   –5    –4    –3   –2    –1 0         1    2       3   4       5   6
–1

–2

–3

–4

(i)     Translate the shaded triangle by the vector  5 
 – 4
 

Label this triangle C.
(2)

Label this triangle D.
(2)
(Total 6 marks)

Blessed Trinity RC College                                                                             2
3.

y
5

4

3

2

1

x
–6   –5       –4   –3   –2   –1 0         1   2   3   4   5   6
–1

–2

–3

–4

Translate the shaded triangle by the vector  
5
(a)                                                 – 4
 

Label this triangle C.
(2)

Label this triangle D.
(2)
(Total 4 marks)

Blessed Trinity RC College                                                                        3
4.    The diagram shows two identical shapes, A and B.

y
6

5

4

3
B
2

1

–6        –5        –4         –3        –2        –1 O                  1         2          3         4         5           6 x
–1

–2
A
–3

–4

–5

–6

Describe fully the single transformation which takes shape A to shape B.

..............................................................................................................................................

..............................................................................................................................................

..............................................................................................................................................
(Total 3 marks)

Blessed Trinity RC College                                                                                                                                       4
5.    (a)

y
6

5

4
A
3

2

1

–5        –4         –3        –2        –1 O                 1          2         3         4          5 x
–1

–2

–3

–4

(i)    Describe fully the single transformation that takes the shaded triangle to triangle A.

...........................................................................................................................

...........................................................................................................................
(2)

(ii)   On the grid above translate the shaded triangle by 2 squares to the right and 4 squares down.
(1)

Blessed Trinity RC College                                                                                                                        5
(b)    Triangle P is an enlargement of the shaded triangle.

y
6

5

4

3

2

1
P
–5    –4    –3     –2    –1 O             1       2         3        4        5 x
–1

–2

–3

–4

(i)    What is the scale factor of the enlargement?

(1)

(ii)   What is the centre of enlargement?

(1)
(Total 5 marks)

Blessed Trinity RC College                                                                                                         6
6.    Triangle P is an enlargement of the shaded triangle.

y
6

5

4

3

2

1
P
–5   –4     –3    –2     –1 O           1       2         3        4        5 x
–1

–2

–3

–4

(a)    What is the scale factor of the enlargement?

(1)

(b)    What is the centre of enlargement?

(1)
(Total 2 marks)

Blessed Trinity RC College                                                                                                       7
7.    Triangle A has vertices (1,2), (1,5) and (3,2).

y
6

5

4

3          A

2

1

–6     –5    –4     –3    –2     –1 O        1        2   3      4     5      6   x
–1

–2

–3

–4

–5

–6

Draw the new position of triangle A after a rotation of 90° clockwise about the origin.
(Total 3 marks)

Blessed Trinity RC College                                                                                  8
8.    The grid shows several transformations of the shaded triangle.

y
5

4

3
C                                          A
2

1
D

–5    –4     –3           –2           –1 O   1       2       3       4           5x
–1
B
–2
F                G              H                           E
–3

–4

(a)    Write down the letter of the triangle

(i)     after the shaded triangle is reflected in the line x = 3,

(1)

(ii)    after the shaded triangle is translated by 3 squares to the right and 5 squares down,

(1)

(1)

(b)    Describe fully the single transformation which takes triangle F onto triangle G.

...............……………………………………………………………………………..

...............……………………………………………………………………………..
(2)
(Total 5 marks)

Blessed Trinity RC College                                                                                                           9
9.    The diagram shows shape A.

y

10

9

8

7

6

A
5

4

3

2

1

–4     –3   –2   –1 O          1        2    3     4       5    6     7      8   x
–1

–2

1
Draw the enlargement of shape A with scale factor     and centre of enlargement (0,0).
3
(Total 2 marks)

Blessed Trinity RC College                                                                             10
10.   The diagram shows a shaded flag.

y
6

5

4

3

2

1

x
–6        –5   –4   –3    –2     –1 O           1   2      3      4   5   6
–1

–2

–3

–4

–5

–6

Label this new flag with the letter A.
(3)

(b)    Reflect the original shaded flag in the line y = 1.
Label this new flag with the letter B.
(2)

(c)    Rotate the original shaded flag by a quarter-turn clockwise about (0, 2).
Label this new flag with the letter C.
(2)
(Total 7 marks)

Blessed Trinity RC College                                                                              11
11.

y
6

5

4

3

2

1

–6     –5    –4     –3     –2     –1 O                                            x
1      2     3     4      5     6
–1

–2

–3

–4

–5

–6
(a)    Reflect the shaded triangle in the line y = –x.
Label this new triangle with the letter A.
(2)

(b)    Rotate the original shaded triangle by a quarter-turn anticlockwise about (0,2).
Label this new triangle with the letter B.
(2)
(Total 4 marks)

Blessed Trinity RC College                                                                                 12
12.   The diagram shows two triangles A and B.
y

5

4

3
B
2                                                                                         A

1

0
x
0           1       2         3         4          5           6       7          8           9

Describe fully the single transformation that maps triangle A onto triangle B.

...............................................................................................................................................

...............................................................................................................................................

...............................................................................................................................................
(Total 3 marks)

13.   The diagram shows two triangles A and B.
y

5

4

3
B
2                                                                                         A

1

0
x
0       1         2         3          4           5       6          7           8       9

(a)       Describe fully the single transformation that maps triangle A onto triangle B.

.....................................................................................................................................

.....................................................................................................................................

.....................................................................................................................................
(3)

(b)       On the diagram draw the image of triangle B after it is reflected in the line y = x
(2)
Blessed Trinity RC College                                                                                                                                 13
14.   The grid shows two triangles.

y
5

4

3

2

1

–5        –4        –3         –2         –1 O                1          2         3         4         5 x
–1
A
–2

–3

–4

–5

(a)    Describe fully the single transformation that maps the shaded triangle onto triangle A.

.....................................................................................................................................

.....................................................................................................................................
(3)

(b)    Reflect the shaded triangle in the line x = –1
(2)
(Total 5 marks)

Blessed Trinity RC College                                                                                                                              14
15.   The diagram shows four shapes, A, B, C and D.

6

5
B
4

3

2
C                                                                          A
1

–4        –3        –2         –1 O                 1          2         3         4          5         6         7             8
–1

–2

–3                                                             D

–4

(a)    Describe fully the single transformation that takes shape A onto shape B.

.....................................................................................................................................

.....................................................................................................................................

.....................................................................................................................................
(2)

(b)    Describe fully the single transformation that takes shape B onto shape C.

.....................................................................................................................................

.....................................................................................................................................

.....................................................................................................................................
(3)

(c)    Describe fully the single transformation that takes shape C onto shape D.

.....................................................................................................................................

.....................................................................................................................................

.....................................................................................................................................
(3)
(Total 8 marks)

Blessed Trinity RC College                                                                                                                                  15
16.
y

5

4

3

2
A
1

–6        –5         –4        –3        –2         –1 O                 1         2          3         4          5            6         x

–1

–2

–3
C                                                            B
–4

–5

(a)    Describe the transformation that maps triangle A to triangle B.

.....................................................................................................................................

.....................................................................................................................................

.....................................................................................................................................
(2)

(b)    Triangle C is an enlargement of triangle A.

(i)       Write down the scale factor of the enlargement.

(1)

(ii)      Write down the coordinates of the centre of the enlargement.

(1)
(Total 4 marks)

Blessed Trinity RC College                                                                                                                                           16

```
DOCUMENT INFO
Shared By:
Categories:
Tags:
Stats:
 views: 2 posted: 2/11/2013 language: Unknown pages: 16