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AleksandrR [38]
2 years ago
7

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

Mathematics
2 answers:
enot [183]2 years ago
6 0

Answer:

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.

tatiyna2 years ago
4 0
Option D is correct hope i helped at all
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