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What happens when you rotate a regular pentagon by 72 degrees?
- a)It looks the same
- b)It looks different
- c)It becomes a square
- d)It becomes a triangle
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
What happens when you rotate a regular pentagon by 72 degrees?a)It loo...
A regular pentagon has rotational symmetry at 72 degrees, so it looks the same after a 72-degree rotation.
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What happens when you rotate a regular pentagon by 72 degrees?a)It loo...
Understanding Regular Pentagon Rotation
When we rotate a regular pentagon by 72 degrees, it appears unchanged. This can be understood through the properties of regular polygons.
Properties of a Regular Pentagon:
- Equal Sides and Angles: A regular pentagon has five equal sides and five equal interior angles, each measuring 108 degrees.
- Symmetry: It possesses rotational symmetry, which means that when it is rotated around its center, it can look the same at certain angles.
Rotation by 72 Degrees:
- Degrees of Rotation: A full rotation is 360 degrees. For a regular pentagon, rotating it by 72 degrees (which is 360 degrees divided by 5) aligns the vertices with the original shape.
- Vertex Alignment: After a 72-degree rotation, each vertex of the pentagon moves to the position of the next vertex. This means the shape does not change visually; it looks the same.
Conclusion:
- Final Answer: Since the pentagon retains its shape and appearance after a 72-degree rotation, the correct answer is option 'A': It looks the same.
This unique characteristic of the regular pentagon demonstrates the beauty of symmetry in geometry!
When we rotate a regular pentagon by 72 degrees, it appears unchanged. This can be understood through the properties of regular polygons.
Properties of a Regular Pentagon:
- Equal Sides and Angles: A regular pentagon has five equal sides and five equal interior angles, each measuring 108 degrees.
- Symmetry: It possesses rotational symmetry, which means that when it is rotated around its center, it can look the same at certain angles.
Rotation by 72 Degrees:
- Degrees of Rotation: A full rotation is 360 degrees. For a regular pentagon, rotating it by 72 degrees (which is 360 degrees divided by 5) aligns the vertices with the original shape.
- Vertex Alignment: After a 72-degree rotation, each vertex of the pentagon moves to the position of the next vertex. This means the shape does not change visually; it looks the same.
Conclusion:
- Final Answer: Since the pentagon retains its shape and appearance after a 72-degree rotation, the correct answer is option 'A': It looks the same.
This unique characteristic of the regular pentagon demonstrates the beauty of symmetry in geometry!
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What happens when you rotate a regular pentagon by 72 degrees?a)It looks the sameb)It looks differentc)It becomes a squared)It becomes a triangleCorrect answer is option 'A'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about What happens when you rotate a regular pentagon by 72 degrees?a)It looks the sameb)It looks differentc)It becomes a squared)It becomes a triangleCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What happens when you rotate a regular pentagon by 72 degrees?a)It looks the sameb)It looks differentc)It becomes a squared)It becomes a triangleCorrect answer is option 'A'. Can you explain this answer?.
What happens when you rotate a regular pentagon by 72 degrees?a)It looks the sameb)It looks differentc)It becomes a squared)It becomes a triangleCorrect answer is option 'A'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about What happens when you rotate a regular pentagon by 72 degrees?a)It looks the sameb)It looks differentc)It becomes a squared)It becomes a triangleCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What happens when you rotate a regular pentagon by 72 degrees?a)It looks the sameb)It looks differentc)It becomes a squared)It becomes a triangleCorrect answer is option 'A'. Can you explain this answer?.
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