YEAR 11 MATHS REVISION Transformations.

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Presentation transcript:

YEAR 11 MATHS REVISION Transformations

Translation B B 3 A 7 10 A 8 Describe the transformation fully that takes shape A to shape B. Describe the transformation fully that takes shape A to shape B. by vector ( ) 10 3 by vector ( ) -8 7 Translation Translation

Translation Translate the shape by vector 5 5 5 5 5 5 5 5 5 5 7 7 5 5 10 10 7 7 7 7 7 7 7 7 10 10 7 7 9 9 9 9 Translate the shape by vector 9 right Translate the shape by vector 5 left 10 up 7 down

Rotations Describe the transformation which takes shape A to 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).

Rotations Rotate the shape clockwise 900 about the point (1,2) Rotate this shape anticlockwise 1800 about the point (-3,2)

Enlargement B A A 6 3 9 B Centre of enlargement 3 Centre of enlargement Describe the transformation fully that takes shape A to shape B. Describe the transformation fully that takes shape A to shape B. Enlargement, Enlargement, by scale factor , by scale factor 2, from centre (-6,-1) from centre (7,-4)

Enlargement 6 10 9 9 7 9 6 4.5 4.5 3.5 6 6 12 3 5 3 3 3 9 2 2 4 1 3 Centre of enlargement Centre of enlargement Multiply all lengths by 3 Multiply all lengths by (÷2) Enlarge this shape by scale factor 3 with (-6,-4) as the centre of enlargement. Enlarge this shape by scale factor with (4,-3) the centre of enlargement

Reflection A reflection in the line y = 3 y = x A A B x x B Describe the transformation that maps A to B Describe the transformation that maps A to B A reflection in the line y = 3 A reflection in the line y = x

Reflection Reflect the shape in the line x = -1 y = 2 x = -1 y x x y x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x Reflect the shape in the line x = -1 Reflect the shape in the line y = 2