Class 6 Exam > Class 6 Questions > If a circle is folded along any diameter, wha...
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If a circle is folded along any diameter, what happens?
- a)The two halves overlap perfectly
- b)The two halves do not overlap
- c)The circle’s size decreases
- d)The circle becomes a semicircle
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If a circle is folded along any diameter, what happens?a)The two halve...
A circle has an infinite number of lines of symmetry, so folding along any diameter will cause the two halves to overlap perfectly.
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If a circle is folded along any diameter, what happens?a)The two halve...
Understanding the Folding of a Circle
When a circle is folded along any of its diameters, it creates a fascinating geometric scenario.
What Happens During the Fold?
- Symmetry: A circle is a shape that is perfectly symmetrical. This means that if you were to draw a line through its center, the two halves would be mirror images of each other.
- Folding Along a Diameter: When you fold a circle along a diameter, you essentially bring one half of the circle over the other half. Since both halves are identical due to the circle's symmetry, they will align perfectly.
Key Points to Understand
- Perfect Overlap: Because of the circle's symmetrical nature, the two halves will overlap perfectly when folded. This ensures that every point on one half coincides with a point on the other half.
- No Size Change: Folding does not alter the size of the circle. It simply changes the position of the halves but keeps their dimensions intact.
- Formation of a Semicircle: While the act of folding creates two overlapping halves, each half can be viewed as a semicircle; however, the focus is on the perfect overlap rather than the formation of new shapes.
Conclusion
Thus, the correct answer is option 'A': The two halves overlap perfectly. This characteristic of circles highlights their unique properties in geometry, making them an essential subject in mathematical studies.
When a circle is folded along any of its diameters, it creates a fascinating geometric scenario.
What Happens During the Fold?
- Symmetry: A circle is a shape that is perfectly symmetrical. This means that if you were to draw a line through its center, the two halves would be mirror images of each other.
- Folding Along a Diameter: When you fold a circle along a diameter, you essentially bring one half of the circle over the other half. Since both halves are identical due to the circle's symmetry, they will align perfectly.
Key Points to Understand
- Perfect Overlap: Because of the circle's symmetrical nature, the two halves will overlap perfectly when folded. This ensures that every point on one half coincides with a point on the other half.
- No Size Change: Folding does not alter the size of the circle. It simply changes the position of the halves but keeps their dimensions intact.
- Formation of a Semicircle: While the act of folding creates two overlapping halves, each half can be viewed as a semicircle; however, the focus is on the perfect overlap rather than the formation of new shapes.
Conclusion
Thus, the correct answer is option 'A': The two halves overlap perfectly. This characteristic of circles highlights their unique properties in geometry, making them an essential subject in mathematical studies.
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If a circle is folded along any diameter, what happens?a)The two halves overlap perfectlyb)The two halves do not overlapc)The circle’s size decreasesd)The circle becomes a semicircleCorrect 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 If a circle is folded along any diameter, what happens?a)The two halves overlap perfectlyb)The two halves do not overlapc)The circle’s size decreasesd)The circle becomes a semicircleCorrect 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 If a circle is folded along any diameter, what happens?a)The two halves overlap perfectlyb)The two halves do not overlapc)The circle’s size decreasesd)The circle becomes a semicircleCorrect answer is option 'A'. Can you explain this answer?.
If a circle is folded along any diameter, what happens?a)The two halves overlap perfectlyb)The two halves do not overlapc)The circle’s size decreasesd)The circle becomes a semicircleCorrect 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 If a circle is folded along any diameter, what happens?a)The two halves overlap perfectlyb)The two halves do not overlapc)The circle’s size decreasesd)The circle becomes a semicircleCorrect 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 If a circle is folded along any diameter, what happens?a)The two halves overlap perfectlyb)The two halves do not overlapc)The circle’s size decreasesd)The circle becomes a semicircleCorrect answer is option 'A'. Can you explain this answer?.
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