This is the "10.5: Segment Length in Circles" page of the "Geometry Chapter 10" guide.
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Geometry Chapter 10   Tags: geometry, mahlman, math  

Last Updated: Feb 19, 2014 URL: http://libguides.mpsaz.net/content.php?pid=89786 Print Guide RSS Updates

10.5: Segment Length in Circles Print Page
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Theorems

Theorem 1: If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.

 

(a)(b) = (c)(d)

Theorem 2:If two secant segments share the same endpoint outside a circle, then the product of the length of one secant segment and the length of its external segment equals the product of the length of the other secant segment and the length of its external segment.


EB * EA = ED * EC

Theorem 3:If a secant segment and a tangent segment share an endpoint outside a circle, then the product of the length of the secant segment and the length of its external segment equals the square of the length of the tangent segment.


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