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Concept

Magnitude of Symmetry

The magnitude of symmetry, also called the angle of rotational symmetry, is the smallest angle through which a figure can be rotated so that it maps onto itself. The relationship between the magnitude and the order of symmetry of a rotation can be expressed by the following equation.

$Magnitude = 36 0^{\circ} \div Order$

A square, for example, has a rotational symmetry of order $4 .$ Therefore, its magnitude is $360 \div 4 = 9 0^{\circ} .$

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