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
360
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User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

A regular hexagon has 6 sides, and it can be rotated about its center by multiples of \( \frac{360^\circ}{6} = 60^\circ \). This means it will align with its original position after every rotation of 60 degrees.

The turns that allow the hexagon to turn onto itself (i.e., bring it back to an equivalent position) are the multiples of 60 degrees up to 360 degrees.

The valid degrees of turns that allow the regular hexagon to turn onto itself are:
- 60 degrees (1 turn)
- 120 degrees (2 turns)
- 180 degrees (3 turns)
- 240 degrees (4 turns)
- 300 degrees (5 turns)
- 360 degrees (6 turns)

Thus, the applicable responses are:
- **60**
- **120**
- **180**
- **240**
- **300**
- **360**

You can check those options off in your response!