1. TODAY IN GEOMETRY…  Review: Finding inside and outside angles of circles  Warm up: Finding angles  Learning Target : 10.6 You will find lengths of segments in a circle  Independent practice

2. REVIEW: So far we have learned to find ANGLES of the following circles and intersecting lines.

3. REVIEW: Solve for x.

4. We reviewed how to find ANGLES of intersecting lines and circles. NOW…we will find LENGTHS of segments of intersecting lines and circles!

5. SEGMENTS OF A CHORD THEOREM: The products of segments of two intersecting chords are equal.

6. EXAMPLE: Find x.

7. PRACTICE: Find x.

8. EXAMPLE: Find x.

9. PRACTICE: Find x.

10. SEGMENTS OF SECANTS THEOREM: The product of one of the whole segment and the exterior segment of the secant is equal to the product of the other whole segment and the exterior segment of the secant.

11. EXAMPLE: Find x.

12. PRACTICE:

13. EXAMPLE: Find x.

15. SEGMENTS OF SECANTS AND TANGENTS: The square of the segment of the tangent is equal to the product of the whole segment and the exterior segment of the secant.

16. EXAMPLE: Find x.

19. PRACTICE: Find x.

20. EXAMPLE: Find x.

21. PRACTICE: Find x.

22. HOMEWORK #6: Pg. 692: 3, 4, 6, 9-14 If finished, work on other assignments: HW #1: Pg. 655: 3-20, 24-26, 30 HW #2: Pg. 661: 3-14, 17, 23 HW #3: Pg. 667: 3-15 HW #4: Pg. 676: 3-16 Pg. 679: 40-46 HW #5: Pg. 683: 3-13