Click+here+for+9.5

9.5 Objectives- Define special cases of segments related to circles including secant-secant secant-tangent and chord-chord segments Develop and use theorems about measures of the segments

Tangent Tangent Segments The theomem that explains this picture is this...If two segments are tangent to a circle from the same external point then the segments are equal..so Secan XA and Seacant XB are equal lengths Next.... For this picture the theorem is.... If two secants intersect outside a circle 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 segments (whole x outside = whole x outside) like this

Now for a secant and a tangent--the theorem for this is... If a secant and a tangent intercet outside a circle then the product of the lengths of the secant segment and its external segment equals the tangent segment squared example: And for the final Chord Chord-- The theorem-If two chords intersect inside a circle then the product of the lengths of the segments of one chord equals the lengths of the other segments..like this... click here for 9.6