Meridian curves of surfaces of revolution are geodesics

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Could someone explain how to go about proving that the meridian curves on a surface of revolution are geodesics?

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Hint: At any point along a geodesic, the normal of the geodesic is parallel to the normal of the surface.

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Alternative hint: A meridian is is the set of fixed points for a particular isometric transformation of the surface. Isometries preserve geodesics. At every point on a smooth surface, there is exactly one geodesic in each direction.