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The angle of incidence beyond which rays of light passing through a denser medium to the surface of a less dense medium are no longer refracted but totally reflected.

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Safety
Convex mirrors are placed on sides of cars and vehicles for better vision of what they cant see behind them. Or in a parking garage to get a better view.

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Security
These convex mirrors are used in stores and shops to get a better view of people to protect from their and having their merchandise stolen.

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Headlights
Headlights on the front of a car are used with a concave mirror. A concave mirror is used so it can spread light wider and to a farther distance.

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Total internal reflection is a complete ray of light with in a medium like water or glass. The phenomenon occurs if the angle of incidence is greater than a certain limiting angle, called the critical angle.