Section+9.5+swann

Objectives:
secant-secant, secant- tangent, and cord- chord segments.
 * Define special cases of segments related to circle, including
 * Develop and use theorems about measures of the segments.

Theorems:
point, then the segments **are the same size.** one secant segment and its external segments equals **the product of the lengths of the other secant segment and its external segment** (whole x outside = whole x outside) the lengths of the secant segment is external segment equals **the length of the tangent** (whole x outside = tangent squared) lengths of the segments of one chord equals **the product of the segments of the other chord.**
 * If two segments are tangent to a circle from the same external
 * If two secants intersect outside a circle, the product of the lengths of
 * If a secant and a tangent intersect outside a circle, then the product of
 * If two chords intersect inside a circle, then the product of the

Example:

AX= 9, XC= 5, DX= 7. What is XB?. Segments AX, XC, DX, and XB are intersecting chords in a circle. By the theorem dealing with chords that intersect inside a circle: pt1 * pt2= pt1 * pt2

AX * XC= DX * XB 9 * 5= 7x 45= 7x /7... /7 = 6.42857142857 or 6.43