e.f.a.b.c.d.- and
Segmentsof Chords,Secants,and Tangents
LearningObjectives
- Find the lengthsof segmentsassociatedwith circles.
In this sectionwe will discusssegmentsassociatedwith circlesand the anglesformedby thesesegments.
The figuresbelowgive the namesof segmentsassociatedwith circles.
Segmentsof Chords
TheoremIf two chordsintersectinsidethe circleso that one is dividedinto segmentsof lengtha and b and
the otherinto segmentsof lengthb and c then the segmentsof the chordssatisfythe followingrelationship:
This meansthat the productof the segmentsof one chordequalsthe productof segmentsof the second
chord.