Question

Is it correct to say that ' There is no object with order of rotational symmetry as 0' . Justify this statement

Answer 1

Answer:

It is correct to say that, " There is no object with order of rotational symmetry as 0 "

Step-by-step explanation:

A figure is said to have rotational symmetry if the figure maps onto itself more than once during a complete rotation, which is 360°

The order of symmetry therefore is defined as the number of times the figure maps onto itself.

And if the figure maps or matches onto itself only once as we complete one full rotation of 360° then we say, there is no symmetry at all.

Hence, the order of symmetry of any object cannot be 1 or less than 1

So, it is correct to say that, " There is no object with order of rotational symmetry as 0 "

Answer 2

"To determine:  If the given statement is correct and to provide justifications for the same.

Given Data: Statement: There does not exist any object having 0 as its order of rotational symmetry

Explanation:

Symmetry can be classified into two, one is the line symmetry and the other is the rotational symmetry. Let us assume a rectangle with a blob at one of its corners.

So, when the rectangle is rotated to 90 degrees, the figure would be like the one below

Again, rotated another 90 degrees, we get

Now we see except the position of the blob, both the figures 1 and 3 look the same.  Hence we say that order of rotational symmetry is 2 because the figure looks the same at two positions.

So, if we say the order of rotational symmetry of an object / figure to be 1, it means the current position of the object / figure itself. There is no rotation associated with it  . Hence the order of rotational symmetry cannot be 1 or less than 1 for any object.  Hence the given statement is true."