SOLUTION: If a line is perpendicular to a radius of a circle at its endpoint that is on the circle, then the line is tangent to the circle.
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Question 1174272:  If a line is perpendicular to a radius of a circle at its endpoint that is on the circle, then the line is tangent to the circle.
 
Answer by ikleyn(52903)   (Show Source): You can put this solution on YOUR website!
 .
See the lesson 
    - A tangent line to a circle is perpendicular to the radius drawn to the tangent point, 
in this site,  and find the proof there  (Theorem 2).
 
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