1. Unit 37 Further Transformations
Presentation 1
Reflections
Presentation 2
Rotations
Presentation 3
Translations
Combined Transformations

2. Unit 37
Reflections

3. Reflect each of the shapes below in the given mirror line

4. Unit 37
Rotations

5. Rotate this shape clockwise through 90°, 180° and 270° about the centre of rotation (0, 0)

6. Angle 90° (anticlockwise) A to D Centre (0, 2) Angle 180° A to E
Shapes B, C, D and E can be transformed from A by a rotation. For each, find the centre and angle of rotation.
A to B
Centre (0, 2)
Angle 180°
A to C
Centre (0, -2)
Angle 90° (anticlockwise)
A to D
Centre (0, 2)
Angle 180°
A to E
Angle 90° (clockwise) ? ? ? ? ? ? ? ?

7. Unit 37
37.3 Translations

8. Translate Shape A using these translations
(b)
(c)
(a)
(b)
(c)

9. Find the translation which transforms A to each of B, C, D and E.
A to B
A to C
A to D
A to E ? ? ? ?

10. 37.4 Combined Transformations
Unit 37
Combined Transformations

11. (a) Reflect the given shape A in the line x = -1 to obtain shape B.
(b) Reflect the new shape B in the line y = -2 to obtain shape C
Find a single transformation
to transform A to C. B
Rotation about (-1, -2) at 180° ? C