A ray of light passing through centre of curvature of a concave mirror retraces its path on reflection. Why ?

A ray of light passing through centre of curvature of a spherical mirror retraces its path on reflection from the mirror.

Why does ray of light passing through the centre of curvature of a concave mirror gets reflected along the same path (ray retraces its path) ?

Explain why a ray of light passing through the centre of curvature of a concave mirror gets reflected along the same path after reflection.

Explain why, a ray of light passing through the centre of curvature of a convace mirror gets reflected back along the same path.

If the light ray is passing through the centre of curvature of a concave mirror, it doesn't deviate. Why ?