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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