Transformations - TranslationQuestion Paper 1

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1

Level GCSE

Subject Mathematics

Topic

Sub-Topic

Booklet Question Paper 1

Geometry and Measures

Transformations - Translation

9 8 7 6 5 4 3

>84% 71% 58% 45% 33% 21% 0%

Grade Boundaries:

U

<15%

O 5

5

y

x

T

TA.

(1)

−⎜⎝⎛ − ⎞

⎟⎠T

B.

(1)

(Total 2 marks)

1.

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2

A

y

B

x

4

3

2

1

1 2 3 4–1

–2

–3

–4

–4 –3 –2 –1 O

Describe the single transformation that maps shape A onto shape B.

(Total 2 marks)

2.

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3

(a) On the grid, reflect shape A in the line y = x.(2)

(b) Describe fully the single transformation that maps triangle B onto triangle C.

(2)

(Total 4 marks)

x

y5

4

3

2

1

1 2 3 4 5O

–1

–2

–3

–4

–5

–5 –4 –3 –2 –1

A

y = x

x

y

4

3

2

1

1 2 3 4O

–1

–2

–3 –2 –1

B

C

3.

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4

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

(Total 2 marks)

A

B

x

y

5

4

3

2

1

1 2 3 4 5O

–1

–2

–3

–4

–5

–4–5 –3 –2 –1

4.

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5

(a) T ranslate shape A by the vector −3

2.

(1)

A

x

y

6

5

4

3

2

1

1 2 3 4 5 6O

–1

–2

–3

–4

–4–5–6 –3 –2 –1

7

–7–8 7 8

5.

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6

(b) Describe fully the single transformation that maps shape Q onto shape R.

Q

x

y

6

5

4

3

2

1

1 2 3 4 5 6O

–1

–2

–3

–4

–4–5–6 –3 –2 –1

7

–7–8 7 8

R

(3)

(Total 4 marks)

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7

(a) Translate shape P by the vector5

−2

(2)

P

x

y

6

7

8

9

5

4

3

2

1

1 2 3 4 5O

–1

–2

–3

–4–5–6–7 –3 –2 –1

6.

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8

(b) Describe fully the single transformation that maps shape A onto shape B.

(3)

(Total 5 marks)

A

B

x

y

5

4

3

2

1

1 2 3 4 5O

–1

–2

–3

–4

–4–5–6 –3 –2 –1 6

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9

Describe fully the single transformation that maps triangle P onto triangle Q.

(Total 2 marks)

6

3

2

–2 –1 O 1 2

–1

–2

x

y

–3 3 4–4

–3

1

–4

–5–6 5 6

4

5

–5

–6

P

Q

7.

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10

Reflect shape P in the line y = x

(2)

y

O 2 4 6 8 10 x

10

P

8

6

4

2

y = x9

7

5

3

1

1 3 5 7 9

8 (a)

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11

(b)

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

x–2 O 2 3 4

–1

–2

–3

–4

–5

y

5

4

3

2

1

5–4–5 –1–3

A

B

1

(2)

(Total 4 marks)

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12