Theorem

10.7 Segments Intersecting Inside a CircleWhen two chords intersect inside a circle, eachchord is divided into two segments, called

Chord Segments

If two chords intersect in a circle, then the product of the lengths of the chord segments are equal

!AB ⋅BC = DB ⋅BE

A Secant Segment is a segment of a secant thathas exactly one endpoint on the circle.

AC ,AB ,AE ,AD,

AB , and AD, areexternalsecantsegments

An External Secant Segment is a segment that lies in the exterior of the circle.

TheoremIf two secants intersect in the exterior of a circle ,then

AC ⋅AB = AE ⋅AD

Find x

3c.

TheoremIf a tangent and a secant intersect in the exterior of a circle ,then

JK2 = JL ⋅ JM

PQistangenttothecircle.Findx

AB istangenttothecircle.Findx