1. Geometry Section 10.5 Segments of Chords

2. In this section, we will be finding the lengths of segments formed when chords intersect.

3. Theorem 10.5: If a diameter is perpendicular to a chord, then

6. Example: In a circle of radius 10 inches, a chord is 5 inches from the center. Find the length of the chord as an exact answer.

7. Theorem 10.15: If two chords intersect inside a circle, then the product of the two segments on one chord equals the product of the two segments on the second chord.

8. Example: If AX = 7, XC = 8 and BX = 11, find XD. Example: If AX = 8, XC = 15, BX = 18 and XD = y + 3, solve for y.

9. Example: The piece of pottery shown at the right was found at an archeological site. Determine the diameter of the original piece of pottery.