Question

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Question 1
(2 points)
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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Answer 1

A regular hexagon has six sides and can be rotated in multiples of \( \frac{360}{6} = 60 \) degrees to align with its original orientation. Therefore, the possible degrees of turns that will allow the regular hexagon to turn onto itself are multiples of 60 degrees.

Here are the relevant turns:

- **60 degrees** (1 turn)
- **120 degrees** (2 turns)
- **180 degrees** (3 turns)
- **240 degrees** (4 turns)
- **300 degrees** (5 turns)
- **360 degrees** (6 turns, which is a full rotation)

So, the correct responses that allow the regular hexagon to turn onto itself are:

- 60
- 120
- 180
- 240
- 300
- 360

Thus, check the following options:

- **60**
- **120**
- **180**
- **240**
- **300**
- **360**