Is a plane mirror concave or convex?
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We can distinguish between a plane mirror a concave mirror and a convex mirror by bringing our face close to each mirror turn by turn. If the image is of the same size as our face it is a plane mirror. If the image is magnified it is a concave mirror. If the image is diminished it is a convex mirror.
A plain mirror is neither concave not convex because it is flat. A concave mirror is a curved inward mirror and a convex mirror is a curved outward mirror.