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What is Order of Rotational symmetry? Video Lecture | Mathematics (Maths) Class 7

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1. What is the order of rotational symmetry?
Ans. The order of rotational symmetry is the number of times a shape fits onto itself during a full rotation of 360 degrees. It is also known as the number of rotational positions in which a shape looks exactly the same.
2. How is the order of rotational symmetry determined?
Ans. The order of rotational symmetry is determined by finding the number of times the shape looks exactly the same during a full rotation. This can be done by rotating the shape in increments and checking if it matches its original position.
3. Can a shape have more than one order of rotational symmetry?
Ans. Yes, a shape can have more than one order of rotational symmetry. For example, a square has an order of rotational symmetry of 4, as it looks the same in four different positions during a full rotation. However, it also has an order of rotational symmetry of 2, as it looks the same when rotated 180 degrees.
4. Can a shape have an order of rotational symmetry of 0?
Ans. No, a shape cannot have an order of rotational symmetry of 0. In order to have rotational symmetry, a shape must have at least one rotational position in which it looks exactly the same. If a shape does not have any rotational positions where it remains unchanged, its order of rotational symmetry is considered to be 0.
5. How is the order of rotational symmetry useful in mathematics and geometry?
Ans. The order of rotational symmetry is useful in mathematics and geometry to analyze and classify shapes. It helps in understanding the properties and characteristics of different shapes. Additionally, it allows mathematicians to study patterns and symmetries in nature and art, as rotational symmetry is commonly found in various objects and designs.
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