Question

Does a figure having rotational symmetry always have linear symmetry?​

Answer 1

Answer:

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Answer 2

Answer:

Rotational Symmetry

When you rotate a star-shaped figure what do you notice? The shape of a star, when seen from any angle, seems the same. Have you ever given a thought to the reason behind this? A star is an example of rotational symmetry. The chapter will let you delve into the idea behind this special type of symmetry.

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Rotational Symmetry

It is not necessary that an object must always have a line of symmetry to prove its symmetrical attribute. There may be some objects which show symmetry despite the absence of the line of symmetry. Such symmetrical objects show rotational symmetry.

Rotation means circular movement of an object around a fixed axis. A clock is the most common and regularly-sighted example of rotation. The needles of the clock move around a fixed point to tell us time. The movement followed by them is called clockwise rotation.

If any object follows rotation in a direction opposite to clock’s movement then such rotation is termed as anti-clockwise. Other common examples of rotation are blades of ceiling fan and wheels of a bicycle. This where rotational symmetry finds its origin.

Also known as radial symmetry, rotational symmetry is that characteristic in which the object looks same despite rotation of it. When an object rotates around a fixed axis if its appearance of size and shape does not change then the object is supposed to be rotationally symmetrical. The recycling icon is also an example of rotational symmetry. Have you ever noticed something peculiar about the recycle icon?

Rotational symmetry

[source:pixabay]

You look at it from any direction, or orientation, the shape is unchanged! This is what rotational symmetry does to the figure. In rotational symmetry, despite the circular movement the shape and size of the object or the figure look the same. In the recycling icon, the arrows of the icon appear to be circularly moving which suggests the rotational concept of recycling. When this icon is rotated to any angle, after every halt it shall look the same.

Step-by-step explanation:

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