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Find the center of rotational , Order of Rotational, Angle of rotational of a square respectively. , , .

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Detailed Solution

We will take squares and rotate them with suitable angles and find the angle of symmetry and the order of the symmetry. We need to know about the center of rotation, order of rotation and Angle of rotation.
Before going to this problem we need to know some basic concept that is ‘Rotational Symmetry’.
The Rotational Symmetry of a shape explains that when an object is rotated on its own axis, the shape of the object looks the same.
Center of Rotation for an object that has rotational symmetry, is the fixed point around which the rotation occurs is called the center of rotation. So, the center of rotation of the square is Intersection of diagonals.
Order of Rotational symmetry for an object that has rotational symmetry, is the number of positions in which a figure can be rotated and still appears exactly as it did before the rotation. Hence Order of rotation is 4.
Angle of Rotational Symmetry for an object that has rotational symmetry, is the angle of turning during rotation is called the angle of rotation. Therefore Angle of rotation of the square is 90.

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