Proof: A radius is perpendicular to a tangent line at its point of tangency.

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Prove theorem -- A radius or diameter of a circle is perpendicular to a tangent line at its point of tangency.
  1. wlfountainjr
  2. radius
  3. is
  4. perpendicular
  5. to
  6. tangent
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Great video, Helped me out a bunch! I would love it if you typed and printed the proof and made it easier to read.

TheZobot
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99biff was right in his comment. I think he meant Triangle OXA is a right triangle with X as right angle. it follows that OA > OX being OA as hypotenuse. Then by looking at the diagram OA > OX because of the fact that X is outside the circle compared to A that is on the circle which only concludes that OX > OA, which contradicts OA>OX, therefore angle OXA cannot be the right angle of triangle OXA.

rochlemalonapse
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can you prove the statement without an indirect proof argument/proof by contradiction?

JohnRoper-qe
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The theorem is a biconditional so wouldn't you need to prove it the other direction too?

tylerpatrick