Question

Which statement is true for letter S?

This letter has reflection symmetry only.
This letter has rotation symmetry only.
This letter has both reflection and rotation symmetry
This letter has neither reflection nor rotation symmetry.

Answer 1

The letter S has rotation symmetry only.

Explanation:

ROTATIONAL SYMMETRY:

An object is said to have a rotational symmetry if after rotating the object , the object still remains the same.

REFLECTION SYMMETRY:

An object is said to have a reflection symmetry if the mirror reflection of the object is a replica of the given object.

Now, the Letter S has NO Reflection symmetry because the mirror replica of S is not a replica of the letter S.

But, the Letter S has a rotational symmetry of order 2.

Letter S when rotated at an angle of 180 degrees, gives the exact letter S.

Hence, the letter S has rotation symmetry only.