Theorem 12-1: If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency. Point of tangencyA B O P.

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Presentation transcript:

Theorem 12-1: If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency. Point of tangencyA B O P AB  OP

Example: ML and MN are tangent to  O. Find the value of x. M L N O x The sum of the angles of a quadrilateral is x= x=360 0 x=63 0

Example: Is ML tangent to  N at L? M L 7 N a 2 +b 2 =c = = =625 Yes

Theorem 12-1: The two segments tangent to a circle from a point outside of the circle are congruent. M L N O LM  NM

Example:  O is inscribed in  ABC. Find the perimeter of  ABC? C A 8 B