Centre of curvature of a mirror and the perpendicular

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The normal line to a spherical mirror is always perpendicular to the surface at the point of incidence, which means it passes through the center of curvature. When light rays travel through the center of curvature, they reflect back along the same path since the angle of incidence is zero. This principle holds true for spherical mirrors, confirming that the normal indeed intersects the center of curvature. Therefore, the relationship between the normal and the center of curvature is consistent in spherical mirrors. Understanding this concept is crucial for analyzing light behavior in optics.
shihab-kol
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If the normal is always 90 to the mirror can we assume that it always passes through centre of curvature?
The light rays passing through the centre are reflected back in the same direction as angle of incidence is 0
and incident angle is 90
so, the normal should pass through the centre.
 
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If the mirror is spherical it will pass through centre
 

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