Question

Which one of the following has a point symmetry about the origin?
A.

B.

C.

D.

Answer 1

Hint: We will understand point symmetry and then we will observe the curve which has point symmetry about origin. We will check all conditions for point symmetry about origin and then we will know the result.

Complete step-by-step answer:
Point symmetry is when every part has a matching part and every part is at the same distance from the central point but in the opposite direction.

In this figure, each part of the curve has a matching part and is at the same distance from the central point.
The point at the center of the curve is called the center of the figure or the center of the symmetry.
We can see that the figure (A), (B) and (C) has curves with matching parts but each part is not at the same distance from the central point.
Hence, the correct option is (D).

Note: Letters O and X have point symmetry about origin.
In mathematics, symmetry can be defined as a shape exactly like another shape. There are three types of symmetry: rotational symmetry, reflection symmetry and point symmetry.