A regular hexagon makes turns onto itself before coming around full circle. Each rotation is a multiple of degrees. Question 2 What are the degrees of turns that allow the regular hexagon to turn onto itself? Check ALL that apply(1 point) Responses 30 30 60 60 90 90 120 120 150 150 180 180 210 210 240 240 270 270 300 300 330 330 360

1 answer

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 \(300\).