University:
High School
Course:
High School Mathematics
Academic year:

2021
Views:

353

Pages:

2
Author:

DSchneider

10.6 Segments in Circles Core Concepts Tangent Segment and Secant Segment A tangent segment is a segment that is tangent to a circle at an endpoint. A secant segment is a segment that contains a chord of a circle and has exactly one endpoint outside the circle. The part of a secant segment that is outside the circle is called an external segment. p s PS is a tangent segment. PR is a secant segment. is the external segment of PR. PQ Theorems Theorem 10.18 Segments of Chords Theorem 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. Theorem 10.19 Segments of Secants Theorem If two secant segments share the same endpoint outside a circle, then the product of the lengths of one secant segment and its external segment equals the product of the lengths of the other secant segment and its external segment. E EA• EBt= EC· ED o�ts-.Jc, 'N',,_o\t. Theorem 10.20 Segments of Secants and Tangents Theorem If a secant segment and a tangent segment share an endpoint outside a circle, then the product of the lengths of the secant segment and its external segment equals the square of the length of the tangent segment. • E EA 2 =EC• ED EA ·EA 6t..dS-ie. t l:vhu\ l-