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Maths Exercices

Identify reflections, rotations, and translations

Reflection (also known as Flip) in a line produces a mirror image in which corresponding points on the original shape and the mirror image are always the same distance from the mirror line.

Rotation (also known as Turn) turns a shape through a clockwise or anti-clockwise angle about a fixed point known as the Centre of Rotation. All lines in the shape rotate through the same angle. Rotation, (just like reflection) changes the orientation and position of the shape, but everything else stays the same.

Translation (also known as Slide) moves a shape by sliding it up, down, sideways or diagonally, without turning it or making it bigger or smaller.

Point A has been translated to A'' by moving 8 squared to the right and then 4 squares up. This translation is written as a vector

Look at this shape

Identify the following transformations


Remember that:

  • A reflection flips the figure over a line to create a mirror image.
  • A rotation turns the figure around a point.
  • A translation slides the figure to a different location.

Image A shows a reflection. Reflect the shape across a horizontal line. Image A is the correct image.

Image B shows a translation. Translate the shape up 3 and right 1.

Image C shows a rotation. Rotate the shape 90° clockwise.