1. 9.5/9.6 Inscribed Angles and Quadrilaterals HW: 9.5 (#5 – 13) 9.6 (#9 – 13 )

2. Essential Question: How does the measure of an inscribed angle relate to a central angle?

3. Angle formed by 2 chords with a common endpoint

4. Measure of an inscribed ∠ is ½ the measure of the intercepted arc

5. 2 inscribed ∠ s w/ the same intercepted arc are ≅

6. Circle Formulas/Thms Packet Take 3min to write these thms in your packet in your own words. Write it so you will understand it. Add a picture too! Inscribed Angle Thm Congruent Inscribed Angles Thm

7. 45 x 2= 90 76/2= 38

8. 124/2= 62

9. 180/2= 90

10. Technology Break 5 min HW: 9.5 (#5 – 13) 9.6 (#9 – 13 )

11. Essential Question: What are the properties of a quadrilateral inscribed in a circle?

12. Polygon inside a circle and whose vertices are on the circle

13. inscribed oppositesupplementary

14. Circle Formulas/Thms Packet Take 2min to write this thm in your packet in your own words. Write it so you will understand it. Add a picture too! Inscribed Quadrilateral Thm

15. x + 80 = 180 x = 100 93 + z = 180 z = 87 y + 71 = 180 y = 109 58 + 106= 164 x = 164/2 x = 82 82 + y = 180 y = 98

16. 105 + (7x +1) = 180 7x = 74 x ≈ 10.58 You find y! (4y +14) + (7y +1) = 180 11y = 165 y = 15

17. You find x and y! x + 108 = 180 x = 72° y + 88 = 180 y = 92°

18. Mid Chapter Exit Slip 1) Find the arc length AND area of the sector. Keep the pi. 3) Find RQ. Independently complete the exit slip and turn in. 4m 90° 2) Given the circle, find the measure of arc BD. 6 8

19. 9.5 (#5 – 13) 9.6 (#9 – 13 )