Question

What other name can you give to the line of symmetry of a circle?

Answer 1

Hint: Think of the basic definition of the line of symmetry and the diameter of the circle and try to draw out a result from the comparison of the definitions. If needed, a diagram could also be used for better visualisation.

Complete step-by-step answer:
Before starting with the solution, let us discuss the elements of symmetry and when a body is said to be symmetric or asymmetric. First, we will discuss the two major elements of symmetry, which are the line of symmetry and axis of symmetry.
The "Line of Symmetry" is the imaginary line through the body, which divides the body into two equal halves such that the parts on each side of the body are the mirror images of each other. While the axis of symmetry is an axis passing through the body about which the rotation of the body gives the exact identical figure as the initial one, provided the angle of rotation is less than , and the number of times the figure is repeated while rotating it by is the order of the rotational symmetry.
If a body consists of at least one of the elements of symmetry mentioned above is said to be symmetric. We can represent this diagrammatically as:

Now let us start the solution to the above question by drawing the diagram of the situation given in the question.

Now for a circle, any line passing through its centre is the line of symmetry as it divides it into two equal halves. Also, the line passing through the centre and joining two different points lying on the circle is called the diameter of the circle. So, we can conclude that the other name that we can give to the line of symmetry of a circle is the diameter.

Note: Remember that it is possible that a figure can have multiple elements of symmetry. For example: a circle has an infinite number of lines of symmetry and one axis of rotational symmetry with infinite order of rotational symmetry.