6.6 Find Segment Lengths in Circles Quiz: MONDAY! Quiz: Nov Test: Nov. 30 Performance Exam: Dec. 2

Vocabulary Segments of a chord: –When two chords intersect in the interior of a circle, each chord is divided into two segments called segments of the chord. TB and BS are segments of chord TS

Vocabulary Theorem 6.16: Segments of Chords –If two chords intersect in the interior of a circle: EDEB Part 1 Part 2 Part 1 Part 2

Example: Find the value of x. x * 6 = 5 * 12 6x = 60 x = 10

You Try: Find ML and JK.

Vocabulary Secant Segment –A secant segment is a segment that contains a chord of a circle, and has exactly one endpoint outside of the circle. QR is a secant segment

Vocabulary External Segment –An external segment is the part of a secant segment that is outside the circle. KR is an external segment of the secant segment

Vocabulary Theorem 6.17: Segments of Secants –If two secant segments share the same endpoint outside of a circle: EBEC WHOLE OUTSIDE WHOLE OUTSIDE

Example: Find the value of x. RP * RQ = RT * RS (6 + 4) * 6 = (5 + x) * 5 60 = x 35 = 5x 7 = x

You Try: Find the value of x.

Vocabulary Theorem 6.18: Segments of Secants and Tangents –If a secant segment and a tangent segment share an endpoint outside a circle: EDEC WHOLE OUTSIDE Tangent 2

Example: Find JK. MJ 2 = JL * JK *Use quadratic formula to find x*

Example Cont’d: 0 = x 2 + 6x – 64 a = 1b = 6c = -64

You Try: Find RS.

Classwork/Homework P #1-23odd