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Symmetry

The special quadrilaterals are shown below. Investigate the line and rotational symmetry of the quadrilaterals by moving the sliders under each figure.

  1. How many axes of symmetry has each quadrilateral?
  2. If you can rotate a figure around a centre point by fewer than 360° and the figure appears unchanged, then the figure has rotational symmetry. For example, a shape with rotational symmetry of order ‘2’ has two positions in which it looks exactly the same. Write down the order of rotational symmetry of each quadrilateral.