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Tangent Theorem: 


 ­ a tangent to a circle is perpendicular to
   the radius at the point of tangency.

­ the tangent segments to a circle from any
  external point are congruent. 




                                               3
A
                Find the value of x.

    5             10

O
            x                     P




                                       4
5
Tangent Chord Theorem: 


 ­ The angle between a tangent and a chord
    is equal to the inscribed angle on the 
    opposite side of the chord.




                                              6
B           Find the measure
                 2               of angles 1 and 2


A   1       .
            O
                                       E
                             o

                         64
                o

            71           C


        D




                                                     7
8

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