x y O 5 4 3 2 1 – 1 – 2 – 3 – 4 – 5 – 4 – 3 – 2 – 1 1 2 3 4 5 A B C D E F H G 1. The grid shows several transformations of the shaded triangle. (a) Write down the letter of the triangle after the shaded triangle is reflected in the line x = 3, Answer ............................................ (1) (b) Describe fully the single transformation which takes triangle F onto triangle G. ...............…………………………………………………………………………….. (2) (Total 5 marks) C Transformations ‘Spot the mistake’ Is Stephen correct? Yes No Reason why? ……………………………………………………………………………………………………………. ……………………………………………………………………………………………………………. ……………………………………………………………………………………………………………. IsSteven correct? Y es No Part a Part b Reflection Is Stephen
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x
y
O
5
4
3
2
1
–1
–2
–3
–4
–5 –4 –3 –2 –1 1 2 3 4 5
A
B
C
D
EF HG
1. The grid shows several transformations of the shaded triangle.
(a) Write down the letter of the triangle
after the shaded triangle is reflected in the line x = 3,
Answer ............................................(1)
(b) Describe fully the single transformation which takes triangle F onto triangle G.
...............……………………………………………………………………………..(2)
(Total 5 marks)
C
Transformations ‘Spot the mistake’
Is Stephen correct?
Yes
No
Reason why?
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
Is Steven correct?
Yes
No
Part a Part b
Reflection
Is Stephen correct?
O
y
x
4
3
2
1
–1
–2
–3
–4
–4 –3 –2 –1 1 2 3 4
A
2. Triangle A is drawn on the grid below.
Reflect triangle A in the x-axis.Label the triangle B.
(2) (Total 2 marks)
4. Draw the reflection of the shape in the mirror line.
B
Is Stephen correct?
Yes
No
Reason why?
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
Mirror Line
(Total 2 marks)
3. The diagram shows a triangle drawn on a centimetre square grid.
(a) Write down the coordinates of A.
Answer A (……………. , ……………)(1)
(b) Draw the reflection of the triangle in the y-axis.(2)
(Total 3 marks)
-4 , 1
x
y
A
B
C
8
7
6
5
4
3
2
1
–5 –4 –3 –2 –1 O 1 2 3 4 5
Is Stephen correct?
Yes
No
Reason why?
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
Is Stephen correct?
Yes
No
Reason why?
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
–6 –5 –4 –3 1 2 3 4 5 6 x
y
5
4
3
2
1
–1
–2
–3
–4
–5
A
B
–2 –1 O
5.
Describe the transformation that maps triangle A to triangle B.
.....................................................................................................................................
.....................................................................................................................................
.....................................................................................................................................(2)
Relfection
Is Stephen correct?
Yes
No
Reason why?
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
6. The diagram shows two identical shapes, A and B.
6
5
4
3
2
1
– 1
– 2
– 3
– 4
– 5
– 6
– 6 – 5 – 4 – 3 – 2 – 1 O 1 2 3 4 5 6 x
y
A
B
Describe fully the single transformation which takes shape A to shape B.
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................(Total 3 marks)
180° Rotation.
Is Stephen correct?
Yes
No
Reason why?
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
6
5
4
3
2
1
–1
–2
–3
–4
–5
–6
–6 –5 –4 –3 –2 –1 O 1 2 3 4 5 6 x
y
A
New image
7. Triangle A has vertices (1,2), (1,5) and (3,2).
Draw the new position of triangle A after a rotation of 90° clockwise about the origin.(Total 3 marks)
Is Stephen correct?
Yes
No
Reason why?
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
–4 –3 –2 –1 1 2 3 4 5 6 7 8
x
y
10
9
8
7
6
5
4
3
2
1
–1
–2
–3
–4
–5
O
A
B
8. On the grid below there are two shapes, A and B.
(a) Describe fully the single transformation that takes shape A to shape B
.....................................................................................................................................
.....................................................................................................................................(3)
Rotation about (2,1)
Is Stephen correct?
Yes
No
Reason why?
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
x
y
–6 –5 –4 –3 –2 –1 1 2 3 4 5 6
6
5
4
3
2
1
–1
–2
–3
–4
–5
–6
O
A
Y=1
B
C
9. The diagram shows a shaded flag.
(a) Rotate the shaded flag 90° anticlockwise about the origin.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)
Is Stephen correct?
Yes
No
Reason why?
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
10. (a) Here are six L-shapes on a centimetre square grid.
(ii) Which L-shape is an enlargement of A?
Answer ..................F...................................(1)
F
E
D
CBA
Is Stephen correct?
Yes
No
Reason why?
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
11. Rectangle A is enlarged to give rectangle B on the centimetre grid.
(a) What is the scale factor of the enlargement?
.....................................................................................................................................
Answer ..4.....................................................(1)
B
A
Is Stephen correct?
Yes
No
Reason why?
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
12. Triangle P is an enlargement of the shaded triangle.
(a) What is the scale factor of the enlargement?
Answer ..... 2.................................................(1)
(b) What is the centre of enlargement?
Answer (............-1............, .......-2.................)(1)
(Total 2 marks)
2
1P
O 54311–2–3–4–5–
4–
3–
2–
1–
2
3
4
5
6
x
y
Part (a) Is Stephen correct? Part (b) Is Stephen correct?
Yes
No
Yes
No
Reason why?
…………………………………………………………………………………………………………….
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…………………………………………………………………………………………………………….
…………………………………………………………………………………………………………….
13. The vertices of triangle T are (1, 1), (1, 2) and (3, 1).
Enlarge triangle T by scale factor 2, with (0, 0) as the centre of enlargement.
Label this shape P(Total 3 marks)
P
T
y
x100 1 2 3 4 5 6 7 8 90
1
2
3
4
5
6
7
8
Is Stephen correct?
Yes
No
Reason why?
…………………………………………………………………………………………………………….
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