Symmetry

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