Geometry of the Circle
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Geometry of the Circle Table of Contents Intersecting segments of circles – Day 1 ……………………………………………………………………………………………..…………….Page1 HW: Pages 8-10 Arcs and Chords – Day 2 ……………………………………………………….…………………………………….……………….……..…………….. Page 11 HW: Pages 18-20 Inscribed Angles – Day 3…………………………………………………………..……………..………………..……………………………………….. Page 21 HW: Pages 27-28 Review – Day 4 …………………………..…………………………………………………………………………………………..……………….….….. Page 29 HW: Pages 29-38 o Full Period Quiz Lessons: Day 1- Day 4 Other Angle Relationships in Circles – Day 5 ……………………………………………………………………………………………………… Page 39 HW: Pages 46-48 More Angle Relationships in Circles – Day 6 ……………………………………………………………………………………………………… Page 48 HW: Pages 48-54 o Full Period Quiz Lessons: Day 5 - Day 6 Segment Relationships in Circles – Day 7 …………………………………………………………………………………………..……………… Page 55 HW: Pages 60-61 Review Day 8 & 9 …………………………….…………………………………………………………….Pages 62 - 68 Day 10 - Test Lines That Intersect Circles – Day 1 Tangents 1 2. 3. 4. 8 6 4 10 9 5. 2 6. 3 7. 8. 4 9. 5 Example 10. GEF is circumscribed about find the perimeter of GEF. Find the perimeter of each polygon. Assume that lines which appear to be tangent are tangent. 6 Challenge SUMMARY Exit Ticket 7 Homework 8 9 3 3 3 3 3 3 10 Arcs and Chords of Circles – Day 2 Warm - Up 1. 2. 11 12 13 14 15 3. 16 SUMMARY Exit Ticket A. 20 C. 130 17 B. 110 D. 450 Day 2 – Homework 18 19 17. 18. 1 9. 20. 21. 22. 23. 24. 25. 26. 27. 28. 20 Inscribed Angles – Day 3 21 m 22 Level B – Problems 23 Model Problem #4 Model Problem #5 Find Find 24 Level B #6 25 Challenge SUMMARY Exit Ticket 26 Day 3 – Homework 27 28 Day 4 – Review Day Warm – Up Example 1: In the diagram of circle O below, chord is parallel to diameter and m = 30. What is m ? Example 2: In the diagram of circle O below, chord is parallel to diameter and m = 100. What is m ? 29 Practice 3. 4. 30 Section 1: Tangents of Circles 1. Fdfd 2. 3. 31 4. 5. 6. 32 7. 8. Section 2: Relating Arcs and Chords 9. Calculate the radius. 33 10. O with chord 9 units from the center and a radius of 41 units. Calculate the length of the chord. 11. 12. 34 13. 13b. Section 3: Central Angles 14. 35 15. 16. 17. Find each measure. a. m b. m c. m d. m e. m 36 Section 4: Inscribed Angles 18. gvdfds 23. 19. Gfgdf 24. 20. Fdfdf 25. 21. Fdfd 26. 22. Jhjh 37 27. 28. 29. dffd 30. 31. 38 Day 5 – Angle Relationships in Circles Warm - Up 39 40 Example 1: Vertex is _____ circle Example 2: Vertex is __________ circle Example 3: Vertex is __________ circle 41 Example 4: Example 5: Vertex is __________ circle Example 6: Vertex is __________ circle 42 43 Summary 2(m ) = x 2(m ) = x + y 2(m ) = x - y 44 Exit Ticket 2. 3. 45 Homework 46 47 Answers Day 6 – More with Angle Relationships in Circles 48 Review of Angles in Circles: 1. 2. 3. 49 4. 5. 6. 50 7. 51 8. 52 9. 53 10. 54 Day 7 – Segment Relationships of Circles Level A 55 Level B 56 57 Find the value of y. 5. 6. 8. 7. 58 Challenge Find the diameter of the plate. Summary Exit Ticket 59 Homework 60 61 Day 8 & 9 - REVIEW 62 63 64 65 66 67 68 .