Completion requirements
Symmetry is an intuitive concept, but in geometry, it has a formal definition. Watch this lecture series and complete the interactive exercises.
Practice
Rotational symmetry of 2D shapes - Questions
1. Which of the following are magnitudes for rotational symmetry of the quadrilateral below about the marked point?
Choose all answers that apply:
(A) \(30^{\circ}\)
(B) \(90^{\circ}\)
(C) \(180^{\circ}\)
(D) None of the above
2. The center of the regular hexagon below is at the origin.
Which of the following rotational symmetries apply to the regular hexagon?
Rotation | Applies to the figure? |
Rotational symmetry of \(60^{\circ}\) about the origin | Yes/No |
Rotational symmetry of \(120^{\circ}\) about the origin | Yes/No |
3. Which of the following are magnitudes for rotational symmetry of the circle below about its center?
Choose all answers that apply:
(A) \(7^{\circ}\)
(B) \(45^{\circ}\)
(C) \(90^{\circ}\)
(D) \(210^{\circ}\)
(E) \(355^{\circ}\)
(F) None of the above
4. The center of the rhombus below is at the origin.

Which of the following rotational symmetries apply to the rhombus?
Rotation | Applies to the figure? |
Rotational symmetry of \(90^{\circ}\) about the origin | Yes/No |
Rotational symmetry of \(180^{\circ}\) about the origin | Yes/No |