What is the line of symmetry in a circle?

A circle has an infinite number of lines of symmetry, each passing through its centre.

In more detail, a line of symmetry in a shape is a line that divides the shape into two identical halves, where one half is a mirror image of the other. For a circle, any line that passes through its centre will divide it into two equal halves. This is because a circle is perfectly symmetrical around its centre point.

Imagine drawing a line from any point on the circumference of the circle, through the centre, and to the opposite point on the circumference. This line will always create two identical halves, no matter where you start on the circle. This unique property means that a circle does not have just one or a few lines of symmetry, but an infinite number of them.

This concept is important in understanding the properties of circles and helps in solving various geometric problems. For example, when analysing the symmetry of shapes or when working with circle theorems, knowing that a circle has infinite lines of symmetry can simplify your calculations and reasoning.