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,,4)(2,4)(4,0)(2,-,-4) 60 120 180 360

Option D. 360°

Step-by-step 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.

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step-by-step explanation: