1. Segment Lengths in Circles

2. Segments of Chords Theorem
If two chords intersect in the interior of a circle, then …

3. Example 1:
Find the value of x.

4. Example 2:
Find the value of x.

5. Segments of Secants Theorem
If two secant segments share the same endpoint outside a circle, then …

6. Example 3:
Find the value of x.

7. Example 4:
Find the value of x.

8. Example 5:
Find the value of x.

9. Segments of Secants and Tangents Theorem
If a secant segment and a tangent segment share and endpoint outside a circle, then …

10. Example 6:
Find the value of x.

11. Example 7:
Find the value of x.

12. Example 8:
Find the value of x.
a. b. c.