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12.1 Tangent Lines

12.1 Tangent Lines. 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. A. Point of tangency. P. AB OP. O. B. L. x. M. 117 0. O. N. Example:. The sum of the angles of a quadrilateral is 360 0.

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12.1 Tangent Lines

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  1. 12.1 Tangent Lines

  2. 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. A Point of tangency P ABOP O B

  3. L x M 1170 O N Example: The sum of the angles of a quadrilateral is 3600 ML and MN are tangent to  O. Find the value of x. 1170+900+900+x=3600 2970+x=3600 x=630

  4. Example: L 24 7 M N 25 Is ML tangent to  N at L? Yes a2+b2=c2 72+242=252 49+576=625 625=625

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

  6. Example: A 8 10 15 B C  O is inscribed in ABC. Find the perimeter of ABC? 8 15 10 8+8+10+10+15+15 68

  7. Assignment 12.1 Worksheet

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