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A square has a rotational symmetry of order 4 about its centre. What is the angle of rotation?
  • a)
    45o
  • b)
    90o
  • c)
    180o
  • d)
    270o
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A square has a rotational symmetry of order 4 about its centre. What i...
The angle of rotation of a shape refers to the degree by which the shape needs to be rotated to coincide with its original position. In this case, a square has a rotational symmetry of order 4, which means it can be rotated by a certain angle multiple times to align with itself.

To determine the angle of rotation, we need to consider the number of times the square can be rotated to achieve symmetry. Since the rotational symmetry of order 4 means the square can be rotated four times to match its original position, we can calculate the angle of rotation by dividing a full circle (360 degrees) by the number of rotations.

Let's break down the steps to find the angle of rotation:

Step 1: Determine the number of rotations for symmetry
In this case, the square has a rotational symmetry of order 4, which means it can be rotated four times to align with itself.

Step 2: Calculate the angle of rotation
To find the angle of rotation, we divide a full circle (360 degrees) by the number of rotations.
360 degrees ÷ 4 rotations = 90 degrees

Therefore, the angle of rotation for the square with rotational symmetry of order 4 is 90 degrees.

Option B, which states that the angle of rotation is 90 degrees, is the correct answer.
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Community Answer
A square has a rotational symmetry of order 4 about its centre. What i...
Answer is 90 digree because a complete angle makes 360 degree when we divide it by 4 then answer is 90 . So , The angle of rotation is 90 degree.
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A square has a rotational symmetry of order 4 about its centre. What is the angle of rotation?a)45ob)90oc)180od)270oCorrect answer is option 'B'. Can you explain this answer?
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