What is the angle of rotational symmetry when the order is 3 ? Select one: a. \( 60^{\circ} \) b. \( 120^{\circ} \) c. \( 30^{\circ} \) d. \( 90^{\circ} \)

When the order of rotational symmetry is 3, it means that the shape can be rotated at equal angles around its center and still look the same three times before completing a full 360-degree rotation. To find the angle of rotational symmetry, you divide 360 degrees by the order: \( \frac{360^{\circ}}{3} = 120^{\circ} \). So, the correct answer is \( 120^{\circ} \). Rotational symmetry is not just a mathematical concept—it's a common theme in art, architecture, and nature! Think of the stunning symmetry in flowers, snowflakes, and even famous buildings like the Eiffel Tower, all showcasing beautiful patterns and balance that we can appreciate both in mathematics and visually! If you're diving into geometrical shapes, keep a keen eye out for mistakes when calculating angles! A common slip is mixing up the order of symmetry with the angle itself. Always double-check your calculations and remember the fundamental principle that the total angle of a complete rotation is 360 degrees—it can save you from potential mix-ups!