Segment Lengths in Circles Section 10-5 Segment Lengths in Circles

Theorem 10-15 If two chords intersect inside a circle, then the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord.

S H C R N

Example: C R S H N 8 2 x 6

Theorem 10-16 If two secant segments are drawn to a circle from the same external point, then the product of one secant segment and its external segment equals the product of the other secant segment and its external segment.

A P D C B

Example: A P D C B 6 5 9 x

Theorem 10-17 When a secant segment and a tangent segment are drawn to a circle from an external point, the product of the secant segment and its external segment is equal to the square of the tangent segment.

M A T H

Example: 20 4x x