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Geometric Transformations Practice | Reflections, Rotations, Translations | Math Exercises

Practice reflection, rotation, and translation of geometric shapes with detailed instructions and solutions. Discover the center and angle of rotation for each transformation. Learn how to combine transformations for comprehensive understanding.

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Geometric Transformations Practice | Reflections, Rotations, Translations | Math Exercises

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  1. Unit 37Further Transformations

  2. Unit 37 37.1 Reflections

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

  4. Unit 37 37.2 Rotations

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

  6. 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 Centre (0, 2) Angle 90° (clockwise) ? ? ? ? ? ? ? ?

  7. Unit 37 37.3 Translations

  8. Translate Shape A using these translations (a) (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. Unit 37 37.4 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

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