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?

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 a smallest angle of rotational symmetry of 30°, an order of rotational symmetry of 10, and angles of rotational symmetry that are multiples of 30°.

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°.

c) The order of rotational symmetry for the dodecagon is 10.

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

Statement b) is false because a regular dodecagon has rotational symmetry of 30°, not 180°. Statement d) is false because the rotational symmetry of a regular dodecagon is 30°, not 135°.