Which statements are true regarding the regular dodecagon? Check all that apply.

The smallest angle of rotational symmetry for the dodecagon is 30°.

The dodecagon has a rotational symmetry of 180°.

The order of rotational symmetry for the dodecagon is 10.

The dodecagon has a rotational symmetry of 135°.

The angles of rotational symmetry for the dodecagon are multiples of 30°.

Question

Aliza

Mathematics

6 January, 02:42

Which statements are true regarding the regular dodecagon? Check all that apply.

The smallest angle of rotational symmetry for the dodecagon is 30°.

The dodecagon has a rotational symmetry of 180°.

The order of rotational symmetry for the dodecagon is 10.

The dodecagon has a rotational symmetry of 135°.

The angles of rotational symmetry for the dodecagon are multiples of 30°.

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Answers (1)

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Jeramiah Mckenzie · Answer 1

A dodecagon has 12 sides. That means that the smallest angle of rotational symmetry is 360/12 or 30°. All of its angles of rotational symmetry will be multiples of 30, including 180°. 135°, since it is not a multiple of 30°, is not a rotational angle for this figure. The order of °rotational symmetry is 12, as there are 12 sides you can turn this figure to (since it is regular).