Transformations

Moving and resizing shapes on a grid: sliding (translation), flipping (reflection), turning (rotation), and resizing (enlargement) - the same ideas behind moving and resizing images on a phone screen.

  • Translation
  • Reflection and rotation
  • Enlargement

Lessons for Transformations

Translation

Sliding a shapeA translation slides every point of a shape the same distance in the same direction - like sliding …

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Reflection and Rotation

ReflectionFlips a shape over a mirror line - the image is the same distance from the line as the original, …

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Enlargement

Resizing from a pointAn enlargement makes a shape bigger or smaller from a fixed centre point, using a scale factor …

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Exercises for Transformations

Translate points

Translate point (2,5) by the vector (4,-1).Translate point (-3,2) by the vector (1,6).A shape's vertex moves from (0,0) to (5,3). …

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Reflect and rotate points

Reflect point (3,5) in the x-axis.Reflect point (-2,4) in the y-axis.Rotate point (2,3) by 90° clockwise about the origin.

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Enlarge shapes

Enlarge point (1,2) by scale factor 3 from the origin.Enlarge point (4,-2) by scale factor 0.5 from the origin.A shape's …

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