A regular hexagon has rotational symmetry, meaning that it looks the same after certain rotations. Specifically, it can be rotated by multiples of \(60^\circ\) (which is \(360^\circ / 6\)) and still map onto itself.
The degrees of rotation that allow the regular hexagon to turn onto itself are:
- \(0^\circ\) (the original position)
- \(60^\circ\) (1/6 of a full turn)
- \(120^\circ\) (1/3 of a full turn)
- \(180^\circ\) (1/2 of a full turn)
- \(240^\circ\) (2/3 of a full turn)
- \(300^\circ\) (5/6 of a full turn)
- \(360^\circ\) (a full turn)
From the options you provided, the degrees of turns that allow the regular hexagon to turn onto itself include:
- \(60\)
- \(120\)
- \(180\)
- \(240\)
- \(300\)
Thus, the degrees of turns that apply are \(60\), \(120\), \(180\), \(240\), and \(300\).