Another name can you give to the line of symmetry of a circle is ____.

Question

Infinity Learn · Accepted Answer

Concept- Consider the definitions of the circle's diameter and the line of symmetry in general, and then try to infer a conclusion from the comparison of the definitions. For easier visualization, a diagram might be employed if necessary.
Let's talk about the components of symmetry and whether a body is considered to be symmetric or asymmetric before getting to the answer. The line of symmetry and the axis of symmetry are the two main components of symmetry that will be discussed first.
The "Line of Symmetry" is the fictitious line that passes across the body, dividing it into two equal halves, each of which contains mirror representations of the other. As long as the angle of rotation is less than and the number of times the figure is repeated while rotating it by, the axis of symmetry is an axis running through the body along which the rotation of the body produces a perfect replica of the initial figure.
A body is considered to be symmetric if it has at least one of the previously listed components of symmetry. Diagrammatically, this is represented as follows:
Question Image

Let's begin by creating a diagram of the scenario described in the aforementionedQuestion in order to begin the solution.
Question Image

Any line that splits a circle in half equally is the line of symmetry since it passes through the center of the circle. The diameter of the circle is also known as the line connecting the two points on the circle that meet at its center. We may thus deduce that the diameter is another term for the circle's symmetry line.
Hence, the answer is diameter.

Another name can you give to the line of symmetry of a circle is ____.

Start JEE / NEET / Foundation preparation at rupees 99/day !!

Detailed Solution

Get Expert Academic Guidance – Connect with a Counselor Today!