Question

The regular hexagon below is centered at the origin. It is rotated clockwise around the origin through an angle of k° For which of the following values of k will the image be identical to the original hexagon? Choose all that apply.

(-4,0)(-2,4)(2,4)(4,0)(2,-4)(-2,-4)

60
120
180
360

Answer 1

Option D is correct hope i helped at all

Answer 2

Option D. 360°

Explanation:

As we can see in the figure attached Its a regular hexagon having center at origin.

We know for a regular hexagon inscribed area can be divided in six equal triangles. Since every triangle is equilateral triangle so all angles at the center should be 60°.

If we rotate (-2, 4) by 60° the point (-2, 4) replaces (2, 4). Now to get this point (-2, 4) back to its original position hexagon should be rotated by six times of 60° (6×60°= 360°).

Therefore, to get identical image of original hexagon it should be rotated by angle k = 360°

Option D 360° is the answer.