a regular hexagon has rotational symmetry. name the largest degree of rotation, excluding 360, that wouldnt turn a regular hexagon onto itself

Answer 1

A regular hexagon has rotational symmetry and can be rotated by certain angles that will map it onto itself. The angles of rotation that result in the hexagon looking the same are multiples of ${60}^{\circ }$:

• ${60}^{\circ }$ (1/6 of a full rotation)
• ${120}^{\circ }$ (2/6 of a full rotation)
• ${180}^{\circ }$ (3/6 of a full rotation)
• ${240}^{\circ }$ (4/6 of a full rotation)
• ${300}^{\circ }$ (5/6 of a full rotation)
• ${360}^{\circ }$ (full rotation)

Excluding ${360}^{\circ }$, the largest degree of rotation that would not turn a regular hexagon onto itself is ${300}^{\circ }$.