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Transformations

Transformations. 1. Translations. 2. Rotations. 3. Reflections. 4. Enlargement. TRANSLATIONS. Translated. B. Translated. D. A. E. Translated. Translated. Translated. C. F. TRANSLATIONS - QUESTION. y. 10. A. 5. x. 0. 5. 10. 15. 20. TRANSLATIONS.

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Transformations

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  1. Transformations 1. Translations 2. Rotations 3. Reflections 4. Enlargement

  2. TRANSLATIONS Translated B Translated D A E Translated Translated Translated C F

  3. TRANSLATIONS - QUESTION y 10 A 5 x 0 5 10 15 20

  4. TRANSLATIONS Translate triangle A using the following vectors (c) (a) (b) Label B Label C Label D

  5. TRANSLATIONS - ANSWERS y 10 C A D 5 B x 0 5 10 15 20

  6. ROTATIONS y Rotate A 90º clockwiseabout (6,5) A 10 B 5 Centre of rotation x 0 5 10 15 20

  7. ROTATIONS Rotate B 90º clockwiseabout (15,5). Label C y A 10 C B 5 Centre of rotation x 0 5 10 15 20

  8. ROTATIONS 5 4 3 2 1 -5 -4 -3 -2 -1 1 2 3 4 5 -1 -2 A -3 -4 -5

  9. ROTATIONS Rotate triangle A using the following information.. (a) Label B Clockwise, 90o centre (0, 0) (b) Label C Anti- Clockwise, 90o centre (-1, 1 ) Label D (c) 180o centre (0, 0)

  10. ROTATIONS - answers 5 4 B 3 D 2 1 -5 -4 -3 -2 -1 1 2 3 4 5 -1 C -2 A -3 -4 -5

  11. REFLECTIONS x = 9 y A A´ 10 5 Reflect through x = 9 x 0 5 10 15 20

  12. y = x y A Reflect through y = x 10 5 A´ x 0 5 10 15 20

  13. REFLECTIONS 5 4 3 A 2 1 -5 -4 -3 -2 -1 1 2 3 4 5 -1 -2 -3 -4 -5

  14. REFLECTIONS Reflect triangle A in the following lines….. (a) y axis Label B y = 1 (b) Label C (c) Describe fully the transformation from B to C

  15. REFLECTIONS 5 4 B to C is a rotation 180° about (0, 1) 3 A B 2 1 -5 -4 -3 -2 -1 1 2 3 4 5 C -1 -2 -3 -4 -5

  16. 5 4 3 A 2 D 1 -5 -4 -3 -2 -1 1 2 3 4 5 -1 REFLECTIONS in the line y = x -2 -3 -4 -5

  17. EXAM QUESTION 5 4 B 3 2 1 -5 -4 -3 -2 -1 1 2 3 4 5 -1 -2 -3 -4 A -5

  18. REFLECTIONS • Point A rotates anticlockwise to point B. • Give the angle of rotation. (1) 90o (b) Describe another type of transformation that maps A onto B (3) Translation (c) A is reflected in a line, parallel to the x axis, then a line parallel to the y axis. Give the equations of these lines. (2)

  19. y Centre of enlargement A 10 A´ 5 Enlarge: Scale factor 2, centre (1,13) x 0 5 10 15 20

  20. y Centre of enlargement A 10 A´ 5 Enlarge: Scale factor 4, centre (1,12) x 0 5 10 15 20

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