1. ROTATIONS INTRODUCTION ROTATION Turns a shape about a fixed point
Three things you need to know
1) Direction
Clockwise
Anti-clockwise
2) Angle
90°
180°
270°
360°
Quarter turn
Half turn
Three-quarters turn
Full turn
3) Centre of rotation
The point where you rotate from. 1

2. Rotate the shape 90˚ (a quarter turn) clockwise about the origin

3. Rotate the shape 90˚ (a quarter turn) clockwise about the origin

4. Rotate the shape 90˚ (a quarter turn) anti-clockwise about the point A

5. Rotation
Rotate the shape 180˚ (half a turn) about the origin

6. B D C A Rotate the shape Q1 90˚ clockwise about the origin
ANTI-CLOCKWISE
The correct answer is B
Shane thought the answer was C.
Why do you think he got this answer?
What did he do wrong? B D C A

7. B D C A Rotate the shape anti-clockwise Q1 Q1
90˚ clockwise about the origin
CLOCKWISE
ANTI-CLOCKWISE
anti-clockwise A B C D
The correct answer is B
Shane thought the answer was C.
Why do you think he got this answer?

8. B A D C Q2 Rotate the arrow 90˚ anti-clockwise about the origin
The correct answer is A
Shane got it right this time but Lily thought the answer was D.
Why do you think she got this answer?
What did she do wrong? B A D C

9. B A D C 180˚ Q2 Rotate the tiger 90˚ anti-clockwise about the origin
The correct answer is A
Shane got it right this time but Lily thought the answer was D.
Why do you think she got this answer?
What did she do wrong? B A D C

10. -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10
Which shape shows the red shape rotated 90o anticlockwise about the origin? C A D B

11. -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10
Which shape shows the red shape rotated 90o clockwise about the origin? C D A B

12. -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10
Which shape shows the red shape rotated 180o clockwise about the origin? C A B D

13. Time to try some rotations!
Follow these steps
Go to the centre of rotation, draw a cross on the paper
Put the tracing paper over your paper – draw the centre, the cross and the shape
Put your pencil on the centre, rotate the tracing paper until the cross is back on itself
Rotate once (90°) Rotate twice (180°) Rotate 3 times (270°)

14. ROTATIONS 1) 2) 3) 4) 5) 6)
Rotate the shape 270° clockwise 14

15. ROTATIONS 1) 2) 3) x x x
Rotate the shapes from the points given: 15

16. ROTATIONS 4) 5) 6) x x x
Rotate the shapes from the points given: 16

17. Describing ROTATIONS A B x B A
Describe the transformation which takes shape A to B.
Describe the transformation which takes shape A to B.
A rotation 90° clockwise about the origin (0,0).
A rotation 180° about the point (1,3). 17

18. A translation by vector −𝟒 𝟎
Describe fully the transformation that takes the green shape to the pink shape.

19. A reflection in the line x=0 or y-axis
Describe fully the transformation that takes the green shape to the pink shape.

20. A reflection in the line y=0 or x-axis
Describe fully the transformation that takes the green shape to the pink shape.

21. A rotation through 90° anticlockwise about the origin
Describe fully the transformation that takes the green shape to the pink shape.

22. A translation by vector 𝟎 −𝟒
Describe fully the transformation that takes the green shape to the pink shape.

23. A translation by vector 𝟐 𝟏
Describe fully the transformation that takes the green shape to the pink shape.

24. A rotation through 90° clockwise about the origin
Describe fully the transformation that takes the green shape to the pink shape.

25. Describe fully the transformations from the shaded flag to P, Q and R