Does a regular pentagon have rotational symmetry?


Quick Answer

A regular pentagon has rotational symmetry. The order of its rotational symmetry is five, because it can be rotated into five different configurations that look exactly the same before returning to its original configuration. The angle of rotation for each turn is 72 degrees.

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Full Answer

A figure is said to have rotational symmetry if it can be rotated some number of degrees around its center point and still have the same appearance. Regular polygons all have rotational symmetry, and the order of their rotational symmetry is always equal to the number of sides. The angle of rotation for each turn is equal to 360 divided by the number of sides.

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