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Transformation 3

The document contains a series of mathematical problems related to transformations of geometric shapes, specifically triangles and other figures. Each problem requires the description of transformations such as translations, reflections, rotations, and enlargements that map one shape onto another. The document includes grid diagrams for visual representation and space for students to write their answers.

Uploaded by

Muhammad Arif
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© © All Rights Reserved
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32 views13 pages

Transformation 3

The document contains a series of mathematical problems related to transformations of geometric shapes, specifically triangles and other figures. Each problem requires the description of transformations such as translations, reflections, rotations, and enlargements that map one shape onto another. The document includes grid diagrams for visual representation and space for students to write their answers.

Uploaded by

Muhammad Arif
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Topic : Transformation-3 1

14
y
6

5
B
4

2
A
1

0 1 2 3 4 5 6 x

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

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

............................................................................................................................................................. [3]

© UCLES 2022 0580/21/O/N/22


2

21
y
8

7
T
6

2
A
1

0 x
1 2 3 4 5 6 7 8

(a) Describe fully the single transformation that maps shape T onto shape A.

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

............................................................................................................................................................ [2]

(b) On the grid, reflect shape T in the line y = x. [2]

© UCLES 2019 0580/21/O/N/19


3

10
y
10
9
8
7
6
B
5
4
3
2
1

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

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

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

..................................................................................................................................................... [2]

(b) Rotate shape A 90° clockwise about the point (- 1, 2) . [2]

(c) Enlarge shape A by scale factor - 2 , centre (2, 0). [2]

© UCLES 2023 0580/22/M/J/23


4

11
y
8

6
A
5
B
4

2
C
1

–2 –1 0 1 2 3 4 5 6 7 8 9 10 x

–1

Describe the single transformation that maps

(a) triangle A onto triangle B

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

..................................................................................................................................................... [3]

(b) triangle A onto triangle C.

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

..................................................................................................................................................... [3]
© UCLES 2023 0580/21/M/J/23 [Turn over
5

16
y

8
T
7

3
P
2

0 1 2 3 4 5 6 7 8 9 10 11 x

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

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

............................................................................................................................................................. [3]
6

10
y

T
2

–8 –6 –4 –2 0 2 4 6 8 x

–2

–4

A
–6

–8

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

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

..................................................................................................................................................... [2]
1
(b) Draw the image of triangle T after an enlargement, scale factor - , centre (0, 0). [2]
2

© UCLES 2021 0580/23/M/J/21 [Turn over


7

10
y

10

2
C

–8 –6 –4 –2 0 2 4 6 8 10 x

–2

–4

–6
A B

–8

– 10

(a) Describe fully the single transformation that maps

(i) triangle A onto triangle B,

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

............................................................................................................................................. [3]

(ii) triangle A onto triangle C.

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

............................................................................................................................................. [3]

2
(b) Draw the image of triangle A after a translation by the vector e o. [2]
10

© UCLES 2021 0580/21/M/J/21


8

18
y

8
T

U
2

x
0 2 4 6 8

Describe fully the single transformation that maps triangle T onto triangle U.

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

............................................................................................................................................................. [3]

© UCLES 2020 0580/22/M/J/20


9

25
y
7
6
5 A
4
3
2
1

–11 –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 x
–1
–2
–3 B
C
–4
–5
–6
–7

Describe fully the single transformation that maps

(a) triangle A onto triangle B,

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

............................................................................................................................................................ [3]

(b) triangle A onto triangle C.

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

............................................................................................................................................................ [3]
10

8
y
6
5
4
3
A
2
1 B
–5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10 x
–1
–2
–3
–4
–5

(a) On the grid, draw the image of

(i) triangle A after a reflection in the y-axis, [1]


-3
(ii) triangle A after a translation by the vector e o. [2]
-4
(b) Describe fully the single transformation that maps triangle A onto triangle B.

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

..................................................................................................................................................... [3]

© UCLES 2022 0580/22/F/M/22


11

11
y
7
6
5
4
C
3
2
D
1

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

Describe fully the single transformation that maps

(a) shape A onto shape B,

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

..................................................................................................................................................... [3]

(b) shape A onto shape C,

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

..................................................................................................................................................... [2]

(c) shape A onto shape D.

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

..................................................................................................................................................... [3]

© UCLES 2020 0580/22/F/M/20 [Turn over


12

20
y

9
8
7
6
5
4
A C
3
2
1
x
–8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10 11
–1
–2
–3
B
–4
–5
–6
–7

Describe fully the single transformation that maps

(a) shape A onto shape B,

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

.............................................................................................................................................................. [3]

(b) shape A onto shape C.

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

.............................................................................................................................................................. [3]

© UCLES 2018 0580/22/F/M/18


13

11
y

1
A
x
–4 –3 –2 –1 0 1 2 3 4 5 6 7
–1

–2

–3

T(X) is the image of the shape X after translation by the vector c m .


-1
3
M(Y) is the image of the shape Y after reflection in the line x = 2.

On the grid, draw MT(A), the image of shape A after the transformation MT. [3]

© UCLES 2017 0580/22/F/M/17 [Turn over

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