6
AssignmentMultiple Select

Compositions

Question 6 • High School Math 2 A

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

Answer
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°.

Explanation

A regular dodecagon has 12 equal positions around a full turn, so its smallest rotation that maps it onto itself is 360° ÷ 12 = 30°. Its rotational symmetries are multiples of 30°, which includes 180° (6 × 30°), but not 135°. The order is 12, not 10. Therefore, the true statements are that the smallest angle is 30°, it has rotational symmetry of 180°, and its symmetry angles are multiples of 30°.

AI-written and checked against the verified answer.

Previous
Next