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What is the order of rotational symmetry for a regular hexagon?
- a)2
- b)3
- c)6
- d)8
Correct answer is option 'C'. Can you explain this answer?
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What is the order of rotational symmetry for a regular hexagon?a)2b)3c...
The order of rotational symmetry for a regular hexagon is 6, corresponding to its rotational symmetry at 60°, 120°, 180°, 240°, 300°, and 360°.
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What is the order of rotational symmetry for a regular hexagon?a)2b)3c...
Order of Rotational Symmetry for a Regular Hexagon
Hexagon is a polygon with six sides and six angles. A regular hexagon has all its sides of equal length and all its angles are equal. When a regular hexagon is rotated about its center, it looks the same in six different positions.
Explanation:
- A regular hexagon has six equal sides and six equal angles.
- When a regular hexagon is rotated by 60 degrees (360 degrees divided by 6), it fits perfectly onto its original position.
- The hexagon can be rotated a total of six times (360 degrees divided by 60 degrees per rotation) before it looks exactly the same as the original position.
- Each rotation by 60 degrees reveals a new position that is indistinguishable from the starting position.
- Therefore, the regular hexagon has an order of rotational symmetry of 6.
Conclusion:
The order of rotational symmetry for a regular hexagon is 6, meaning it can be rotated 6 times at angles of 60 degrees each before it looks the same as the original position.
Hexagon is a polygon with six sides and six angles. A regular hexagon has all its sides of equal length and all its angles are equal. When a regular hexagon is rotated about its center, it looks the same in six different positions.
Explanation:
- A regular hexagon has six equal sides and six equal angles.
- When a regular hexagon is rotated by 60 degrees (360 degrees divided by 6), it fits perfectly onto its original position.
- The hexagon can be rotated a total of six times (360 degrees divided by 60 degrees per rotation) before it looks exactly the same as the original position.
- Each rotation by 60 degrees reveals a new position that is indistinguishable from the starting position.
- Therefore, the regular hexagon has an order of rotational symmetry of 6.
Conclusion:
The order of rotational symmetry for a regular hexagon is 6, meaning it can be rotated 6 times at angles of 60 degrees each before it looks the same as the original position.
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What is the order of rotational symmetry for a regular hexagon?a)2b)3c)6d)8Correct answer is option 'C'. Can you explain this answer?
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