# whats the order of rotational symmetry for a hexagon,trapezium,octagon and quadrilateral?

The order of rotational symmetry and number of lines of symmetry of any regular polygon is equal to the number of sides of the regular polygon.

The number of rotations (when rotated through the angle of rotation) required by an object to rotate about the centre of rotation to attain its original structure is known as the order of rotational symmetry.

A regular hexagon has 6 equal sides. A regular hexagon has rotational symmetry every . A regular hexagon when rotated 6 times through the angle of rotation, attains its original structure.

∴ A regular hexagon has rotational symmetry of order 6.

A regular octagon has 8 equal sides. A regular hexagon has rotational symmetry every . A regular octagon when rotated 8 times through the angle of rotation, attains its original structure.

∴ A regular octagon has rotational symmetry of order 8.

A quadrilateral has no rotational symmetry.

A trapezium has no rotational symmetry.

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