Question

describe the rotational symmetry or symmetries of the figure. choose the correct answer below. a. 180° b. 90°, 180°, 270° c. 120°, 240° d. the figure does not have rotational symmetry.

Explanation:

The figure is a square - like design with rotational symmetry. A square has rotational symmetry of order 4, meaning it maps onto itself when rotated by \( \frac{360^{\circ}}{4}=90^{\circ} \), and also when rotated by \( 90^{\circ}\times2 = 180^{\circ} \) and \( 90^{\circ}\times3=270^{\circ} \). So the angles of rotational symmetry are \( 90^{\circ} \), \( 180^{\circ} \), and \( 270^{\circ} \), which corresponds to option B.

Answer:

B. \( 90^{\circ}, 180^{\circ}, 270^{\circ} \)