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# Order of Rotational Symmetry

TopA shape is rotated along its center, if it comes exactly at the same Position, then the given shape has Rotational Symmetry. In other words, a shape is rotated to number of positions, without having any change in its shape and we get the original shape, is known as order of Rotational Symmetry. In coordinate Geometry, the order of rotational symmetry depends upon the number of equal sides that a shape has. Now, we talk about the order of rotational symmetry of different shapes. First we talk about the Triangles.
 Scalene Triangle Order of Symmetry Reason All the sides of a Scalene Triangle are different There is no rotational symmetry present in scalene triangle Because order of symmetry depends upon the equal number of sides. Isosceles Triangle Two equal sides are present in the Isosceles Triangle so order of symmetry is 2. Because number of equal side is 2. Equilateral Triangle All sides of Equilateral Triangle are equal so order of symmetry is 3. Number of equal sides are 3. Square All four sides of a Square are same so the order of symmetry is 4. Number of equal sides are 4. Rectangle Rectangle has two equal sides so the order of symmetry is 2. Number of equal side is 2. Circle Circle has infinity order of symmetry Because it can rotate any amount of time around the center.
In the geometry there are different types of order of symmetry which are:
Reflection symmetry: If we cut any shape in two half’s and both the shapes are identical then this type of symmetry is known as reflection symmetry.
Rotational symmetry: If we rotate any shape in any direction and there is no change in the shape then this type of symmetry is known as Rotational symmetry. There are so many symmetries, they all have their own properties which are: Translation symmetry, Glide reflection symmetry, Rotoreflection symmetry, helical symmetry and so on. This is all about order of rotational symmetry.