1. TODAY IN GEOMETRY…  Warm up: Inscribed Polygons  STATs for Ch.10 Quiz  Learning Target : 10.5 You will find the measures of angles inside or outside of a circle  Independent practice

2. WARM UP: Find the value(s) of the variable(s). 1. 2. 3.

3. HOW DID YOU “SHAPE” UP?? Results for ALL of my Geometry classes: GRADE NUMBER OF STUDENTS WHO TOOK THE CH.10 QUIZ (16 pts.) 1 ST PERIOD3 RD PERIOD5 TH PERIOD6 TH PERIODTOTAL A1518 1768 B353619 C00000 D23005 F20406 Avg.14.1114.5214.2615.0914.50

4. THEOREM-CHORDS AND TANGENTS: If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one half the measure of the intersected arc.

5. PRACTICE:

7. INTERSECTING LINES AND CIRCLES: If two lines intersect a circle, there are three places where the lines can intersect:

8. INSIDE ANGLE THEOREM: If two chords intersect inside a circle, then the measure of each angle is one half the sum (addition) of the measures of the arcs intercepted by the angle and its vertical angle.

9. EXAMPLE:

10. PRACTICE: Find the value of x.

11. EXAMPLE: Find the value of y.

12. PRACTICE: Find the value of x.

13. OUTSIDE ANGLE THEOREM: If two lines intersect outside a circle, then the measures of the angle formed is one-half the difference (subtract) of the measures of the intercepted arc.

14. EXAMPLE:

15. EXAMPLE: Find the value of x.

16. EXAMPLE: Find the value of a.

17. PRACTICE: Find the value of x.

18. EXAMPLE: Find the value of x.

20. PRACTICE: Find the value of x.

21. HOMEWORK #5: Pg. 683: 3-13 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