Final answer:
Rotational symmetry in mathematics refers to designs maintaining all characteristics when rotated about an axis, demonstrating symmetry in structure.
Explanation:
Rotational symmetry is a quality a design possesses when it maintains all characteristics after being rotated about an axis lying in its plane. This means that the design looks the same after the rotation, demonstrating symmetry in its structure.
For example, consider a star shape. If the star shape is rotated around its center, and at each step, it aligns perfectly with its original form, it exhibits rotational symmetry.
Understanding symmetry in mathematics is crucial for analyzing patterns, shapes, and geometric properties, allowing for deeper exploration of various mathematical concepts.
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