How do you find the lines of symmetry in a sphere?

A sphere has an infinite number of lines of symmetry 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 sphere, any line that passes through its centre will divide it into two identical hemispheres. This means that there are countless lines of symmetry in a sphere, as you can draw such a line in any direction through the centre.

To visualise this, imagine the Earth as a sphere. You can draw a line from the North Pole to the South Pole, and this line would be a line of symmetry. But you could also draw a line from any point on the equator through the centre to the opposite point on the equator, and this would also be a line of symmetry. Because there are no restrictions on the direction of these lines, the sphere has an infinite number of lines of symmetry.

This property is unique to spheres among three-dimensional shapes. For example, a cube has only a limited number of lines of symmetry, specifically through the centres of its faces and along its diagonals. The infinite symmetry of a sphere makes it a very special and highly symmetrical shape in geometry.