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

2. 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.

3. S H C R N

4. Example: C R S H N 8 2 x 6

5. 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.

6. A P D C B

7. Example: A P D C B 6 5 9 x

8. 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.

9. M A T H

10. Example: 20 4x x