10.5 Segment Lengths in Circles

10.6 Segment Lengths in Circles5/11/10Finding the Lengths of ChordsWhen two chords intersect in the interior of a circle, each chord is divided into two segments which are called segments of a chord. Theorem 10.14

EA EB = EC ED

Ex. 1: Finding Segment LengthsChords ST and PQ intersect inside the circle. Find the value of x. Tangents and SecantsIn the figure shown, PS is called a tangent segment because it is tangent to the circle at an end point.

Theorem 10.15

EA EB = EC EDTheorem 10.16(EA)2 = EC ED

Ex. 2: Finding Segment LengthsFind the value of x.

Example 3Find the value of x.

Example 4Find the value of x.

Example 5Find the value of x.AssignmentWorksheet!Review Tomorrow!Test Thursday!EOC Geometry Field Test Friday!Meet in New Gym 1st Period Friday!Only 16 Days Left!!!!