Line Symmetry And Rotational Symmetry

Some shapes have only line symmetry and some shapes have only rotational symmetry but there are some shapes which have both types of symmetry.

Example

Find whether the given image has rotational symmetry or line symmetry or both.

Solution:

Rotational Symmetry

If we rotate the image clockwise at an angle of 360° around its centre then it will have rotational symmetry of order 1 or no symmetry as every image will look same if we rotate it at 360°.

This will not look the same at every 120° because of the colour of the balls at its edges.

Line Symmetry

This figure will have three line of symmetry. As there are three possible lines which can divide the image into two equal halves. 

Example

Tell whether the figures below have line symmetry or rotational symmetry or both.

Solution:

  • The first figure have 2 line of symmetry and rotational symmetry of order 2.
  • The second figure has no line of symmetry but have rotational symmetry of order 3.
  • The third figure has 1 line of symmetry but no rotational symmetry.
  • The fourth figure has 1 line of symmetry but no rotational symmetry.
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