Question

Consider the regular dodecagon. A dodecagon has 12 sides and has a point at the center. Which statements are true regarding the regular dodecagon? Check all that apply.

A. The smallest angle of rotational symmetry for the dodecagon is 30°.
B. The dodecagon has a rotational symmetry of 180°.
C. The order of rotational symmetry for the dodecagon is 10.
D. The dodecagon has a rotational symmetry of 135°.
E. The angles of rotational symmetry for the dodecagon are multiples of 30°.

Answer 1

The regular dodecagon has certain properties of rotational symmetry.

Step-by-step explanation:

The statements that are true regarding the regular dodecagon are:

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

B. The dodecagon has a rotational symmetry of 180°.

C. The order of rotational symmetry for the dodecagon is 10.

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

The statement that is not true is:

D. The dodecagon does not have a rotational symmetry of 135°.