Question

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

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).

Answer 2

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

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

2) The dodecagon has a rotational symmetry of 180°.

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