Question
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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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
Skip to navigation
Answers
GPT-4o mini
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!
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!