Unit 37 Further Transformations

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Presentation transcript:

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

Unit 37 37.1 Reflections

Reflect each of the shapes below in the given mirror line

Unit 37 37.2 Rotations

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

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) ? ? ? ? ? ? ? ?

Unit 37 37.3 Translations

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

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 ? ? ? ?

37.4 Combined Transformations Unit 37 37.4 Combined Transformations

(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