1. Transformations – Combinations – Worksheet B
Worksheets increase in difficulty and are in a variety of sizes.

2. Printing To print handouts from slides -
Select the slide from the left. Then click:
File > Print > ‘Print Current Slide’
To print multiple slides -
Click on a section title to highlight all those slides,
or press ‘Ctrl’ at the same time as selecting slides to
highlight more than one. Then click:
File > Print > ‘Print Selection’
To print double-sided handouts -
Highlight both slides before using ‘Print Selection’.
Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

3. Combinations of Transformations1.
Combinations of Transformations
Follow the instructions for each shape.
What’s the machine? F
Translate shape A by the vector
Reflect the new shape in 𝑥 = 0 A D
Reflect shape B in 𝑥 = 1.
Reflect the new shape in 𝑥 = 7.
Reflect shape C in 𝑦 = 0
Rotate the new shape
180° around (0,3).
Translate shape D by the vector 0 −3
Enlarge the new shape by
a scale factor of 2 from (−8, 3) C
Translate shape E by the vector
Rotate the new shape 90° anticlockwise
around (0, −4). B E
Rotate shape F 90° clockwise
around (7, 6).
Reflect the new shape in 𝑥 = 6

4. Combinations of Transformations2.
Combinations of Transformations
Follow the instructions for each shape.
What’s the animal? B
Translate shape A by the vector −
Rotate the new shape
90° clockwise around (−5, −6). F
Translate shape B by the vector
Rotate the new shape
90° clockwise around (5,8). G
Translate shape C by the vector
Enlarge the new shape by
a scale factor of 2 from (7, −2). D
Rotate shape D 90° anticlockwise
around (−7, −2).
Reflect the new shape in 𝑥 = −5.5
Rotate shape E 180° around (−1, −7).
Enlarge the new shape by
a scale factor of 2 from (−2, −8)
Translate shape F by the vector 5 −2 .
Reflect the new shape in 𝑥 = 1 C E
Reflect shape G in 𝑦 = −2.
Translate the new shape by the vector −8 2 . A

5. Extension:
What single transformation can you use
to transform A to A’, B to B’ etc?

6. Combinations of Transformations2.
Combinations of Transformations F F’
The centre of rotation can be found using the
intersection of the perpendicular bisectors
of lines joining corresponding vertices.

7. Combinations of Transformations1.
Combinations of Transformations
Follow the instructions for each shape.
What’s the machine? F A’
Translate shape A by the vector
Reflect the new shape in 𝑥 = 0 F’ A D
Reflect shape B in 𝑥 = 1.
Reflect the new shape in 𝑥 = 7. C’
Reflect shape C in 𝑦 = 0
Rotate the new shape
180° around (0,3). D’
Translate shape D by the vector 0 −3
Enlarge the new shape by
a scale factor of 2 from (−8, 3) C
Translate shape E by the vector
Rotate the new shape 90° anticlockwise
around (0, −4). B E’ B’ E
Rotate shape F 90° clockwise
around (7, 6).
Reflect the new shape in 𝑥 = 6

8. Combinations of Transformations2.
Combinations of Transformations
Follow the instructions for each shape.
What’s the animal? B B’
Translate shape A by the vector −
Rotate the new shape
90° clockwise around (−5, −6). F F’
Translate shape B by the vector
Rotate the new shape
90° clockwise around (5,8). G
Translate shape C by the vector
Enlarge the new shape by
a scale factor of 2 from (7, −2). C’ D
Rotate shape D 90° anticlockwise
around (−7, −2).
Reflect the new shape in 𝑥 = −5.5 G’ A’ D’ E’
Rotate shape E 180° around (−1, −7).
Enlarge the new shape by
a scale factor of 2 from (−2, −8)
Translate shape F by the vector 5 −2 .
Reflect the new shape in 𝑥 = 1 C E
Reflect shape G in 𝑦 = −2.
Translate the new shape by the vector −8 2 . A

9. Extension: 1 2 A to A’ Translate 3 10 90° anticlockwise around (3,-2)
B to B’
Translate
90° clockwise
around (2,4)
C to C’
Translate 7 6
Scale Factor: 2
C of E: (8,-17)
D to D’
C of E: (-8.9)
around (-5,0)
E to E’
around (-2,-5)
C of E: (-2,-12)
F to F’
around (6,5)
180° anticlockwise
around (-1,8)
G to G’
Translate −8 −5

14. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
…or have you found a mistake!?
Any feedback would be appreciated .
Please feel free to