Rotational Symmetry
Rotational Symmetry
Rotational Symmetry:
A figure which after rotation superimposes the original figure, that is it remains symmetrical and overlaps itself after rotation is said to follow rotational symmetry.
Consider a rotating object, say a wheel of a bicycle or a wind - mill etc. The fixed point about which the object rotates is called the center of rotation.
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When an object rotates in the direction of motion of hands of a clock, rotation is called clock wise rotation; otherwise it is said to be anti-clockwise rotation.
Angle of rotation: The angle through which an object rotates (turns) about a fixed point is known as the angle of rotation.
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An object is said to take a full turn, if the angle of rotation is of . A quarter-turn means rotation by
and a three quarter-turn means rotation by
as shown below :
Rotational symmetry : A figure is said to have rotational symmetry if it fits onto itself more than once during a full turn i,e. rotation through . OR
Order of Rotational Symmetry:
The order of rotational symmetry of a shape is the number of times it can be rotated around a full circle and still overlaps the original object. The minimum order of rotational symmetry a shape can have is 1. For example, for an equilateral triangle ABC, when it is rotated about point X, will take the same shape after a rotation of angle 120° as in figure. Thus, order of rotational symmetry =.jpg)
What is the order of symmetry of the given figure ?
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| Right Option : C | |||
| View Explanation | |||
The order of rotational symmetry of an equilateral triangle is ___________________. | |||
| Right Option : C | |||
| View Explanation | |||
Which of these letters of the English alphabet has both multiple line and rotational symmetries? | |||
| Right Option : A | |||
| View Explanation | |||
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