1. goteachmaths.co.uk Combined Transformations – Complete Lesson
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2. Describe the transformations that map the shaded triangle to A, B, C & D
Translations – Vector
Reflection – Mirror Line
Rotation – Centre of Rotation + Angle + Direction
Enlargement – Centre of Enlargement + Scale Factor A B D C

3. Describe the transformations that map the shaded triangle to A, B, C & D
A – Rotation around (0,1), 180°,
clockwise, anti-clockwise.
B – Enlargement. Scale factor 2,
centre of enlargement (-2,-4) A
C – Translation 4 2 ) ( B
D – Reflection in 𝑥 = -1 D C

4. Describe the transformations that map the shaded triangle to A, B, C & D
A – Rotation around (0,1), 180°,
clockwise, anti-clockwise.
B – Enlargement. Scale factor 2,
centre of enlargement (-2,-4) A
C – Translation 4 2 ) ( B
D – Reflection in 𝑥 = -1 D
No animations. C

5. Handout for students.

6. Combined Transformations
01 December December 2018
Combined Transformations

7. 𝒙=𝟎 How can we map (transform) A to B? Reflection? Translation?
Rotation?
Enlargement?
A combination? A B

8. 𝒙=𝟐 𝒚=𝟏 How can we map (transform) A to C? Reflection? Translation?
Rotation?
Enlargement? A
A combination?
𝒚=𝟏
Reflection in 𝑥=2,
then, reflection in 𝑦=1. C or
Rotation, 180° around (2,1).

9. A X B G H C D F E Describe the single transformation that maps:
X to A: __________________________
X to B: __________________________
X to C: __________________________
X to D: __________________________
X to E: __________________________
X to F: __________________________
X to G: __________________________
X to H: __________________________

10. A A X B X B G G H H C C D D F F E E
Describe the single transformation that maps:
X to A: __________________________
X to B: __________________________
X to C: __________________________
X to D: __________________________
X to E: __________________________
X to F: __________________________
X to G: __________________________
X to H: __________________________
Describe the single transformation that maps:
X to A: __________________________
X to B: __________________________
X to C: __________________________
X to D: __________________________
X to E: __________________________
X to F: __________________________
X to G: __________________________
X to H: __________________________
A5 handout to print.

11. Answers X to A: Translation X to B: Reflection in x = 5.5
X to C: Translation
X to D: Reflection in y = 2
X to E: Rotation 180° clockwise around (3, -1)
X to F: Reflection in the line y = -x
X to G: Rotation 90 anticlockwise around (0, 0)
X to H: Enlargement of scale factor 2,
centre of enlargement (5, 8)
2 2
3 −4 X B G H C D F E
Describe the single transformation that maps:
X to A: __________________________
X to B: __________________________
X to C: __________________________
X to D: __________________________
X to E: __________________________
X to F: __________________________
X to G: __________________________
X to H: __________________________

12. A A A B B B T1) T2) T1) T2) T1) T2) A A B B B A T1) T2) T1) T2) T1)
How is each
shape transformed from A to B?
Pick only from those below.
_________________
Reflected in 𝑦=0
Translation
Reflected in 𝑥=0
Enlarged, SF = 2, (1, 4)
Rotated 180° clockwise
around (0,0)
Rotated 90° anticlockwise
around (2,3)
Enlarged, SF = 3, (-5,-5)
Translation −1 0
Translation
Reflected in 𝑦=1
Translation −4 −1
Translated 0 −1 A A A B B B
T1)
T2)
T1)
T2)
T1)
T2) A A B B
Worksheet to print B A
T1)
T2)
T1)
T2)
T1)
T2)

13. A5 Handout to print.

14. Answers A A A B B B T1) Reflected in 𝑦=0 T2) Translation −1 0
How is each
shape transformed from A to B?
Pick only from those below.
_________________
Reflected in 𝑦=0
Translation
Reflected in 𝑥=0
Enlarged, SF = 2, (1, 4)
Rotated 180° clockwise
around (0,0)
Rotated 90° anticlockwise
around (2,3)
Enlarged, SF = 3, (-5,-5)
Translation −1 0
Translation
Reflected in 𝑦=1
Translation −4 −1
Translated 0 −1
Answers A A A B B B
T1) Reflected in 𝑦=0
T2) Translation −1 0
T1) Reflected in 𝑥=0
T2) Enlarged, SF = 2, (1, 4)
T1) Rotated 90° anticlockwise
around (2,3)
T2) Translated 0 −1 A A B B B A
T1) Enlarged, SF = 3, (-5,-5)
T2) Translation
T1) Reflected in 𝑦=1
T2) Translation −4 −1
T1) Rotated 180° clockwise
around (0,0)
T2) Translation

15. Answers A A A B B B T1) Reflected in 𝑦=0 T2) Translation −1 0
How is each
shape transformed from A to B?
Pick only from those below.
_________________
Reflected in 𝑦=0
Translation
Reflected in 𝑥=0
Enlarged, SF = 2, (1, 4)
Rotated 180° clockwise
around (0,0)
Rotated 90° anticlockwise
around (2,3)
Enlarged, SF = 3, (-5,-5)
Translation −1 0
Translation
Reflected in 𝑦=1
Translation −4 −1
Translated 0 −1
Answers A A A B B B
T1) Reflected in 𝑦=0
T2) Translation −1 0
T1) Reflected in 𝑥=0
T2) Enlarged, SF = 2, (1, 4)
T1) Rotated 90° anticlockwise
around (2,3)
T2) Translated 0 −1 A A B B B A
T1) Enlarged, SF = 3, (-5,-5)
T2) Translation
T1) Reflected in 𝑦=1
T2) Translation −4 −1
T1) Rotated 180° clockwise
around (0,0)
T2) Translation

16. Check your success!
I can enlarge a shape by a fractional scale factor.
I am confident enlarging a shape by a fractional scale factor.
I can describe enlargements with fractional scale factors.

17. Check your success!
I can enlarge a shape by a fractional scale factor.
I am confident enlarging a shape by a fractional scale factor.
I can describe enlargements with fractional scale factors.
Effort this lesson?