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Transcript
Geometry – Chapter 10 Objectives: Name _________________________ 10.1 Identify segments and lines related to circles 10.1 Use properties of a tangent to a circle 10.2 Use properties of arcs and chords of a circle 10.3 Use inscribed angles and inscribed polygons 10.4 Use angles formed by tangents and chords 10.4 Use angles formed by lines that intersect a circle 10.5 Find the lengths of segments of chords 10.5 Find the lengths of segments of tangents and secants 10.6 Write equations of circles 10.7 Skip *Don’t forget to RETEST over OBJECTIVES < 75% before or after school. DO NOT WAIT!! It’s harder to retest the longer you are away from it!! Time Line: Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 10.1 Identify segments and lines related to circles 10.1 Use properties of a tangent to a circle 10.2 Use properties of arcs and chords of a circle 10.3 Use inscribed angles and inscribed polygons 10.4 Use angles formed by tangents and chords 10.4 Use angles formed by lines that intersect a circle 10.6 Write equations of circles Hand in the vocab. sheet and any homework you didn’t turn in for this chapter. Assignment: Pg.599 (9-47) ODD There is an error on pg. 596 in examples Assignment: Pg 607 (13-51) odd Pg 616 (9-29, 41, 43)odd Assignment: Pg 624 (9-33, 43) odd Quiz (10.1-10.4) 10.5 Find the lngths of sgmnts of chords 10.5 Find the lngths of sgmnts of tangents and secants Assignment: Pg 632 (10-30, 33, 34) ALL Assignment: Pg.638 (7-31)ALL Chapter 10 Test Vocabulary 1. Circle 2. Center of circle 3. Radius of circle 4. Congruent circles 5. Diameter of circle 6. Chord 7. Secant 8. Tangent 9. Tangent circles 10. Concentric circles 11. Common tangent 12. Interior of a circle 13. Exterior of a circle 14. Point of tangency 15. Central angle 16. Minor arc and its measure 17. Major arc and its measure 18. Semicircle 19. Congruent circles 20. Inscribed angle 21. Intercepted arc 22. Inscribed polygon 23. Circumscribed circle 24. Tangent segment 25. Secant segment 26. External segment 27. Standard equation of a circle 28. Tangents to circles Theorems: 1. 2. 3. 29. Arc addition Postulate 30. The distance form a point to a line is the ___________________________________________________from the point to the line. 31. Theorems about chords of circles: 1. 2. 3. 4. 32. Measure of an inscribed angle theorem 33. Angles intercepting the same arc theorem 34. Theorems about inscribed polygons: 1. 2. 35. Tangent, Secant, and Chord theorems: 1. 2. 3. 36. Segment lengths from Tangents, Secants, and Chords Theorems: 1. 2. 3. FROM THE DIAGRAM BELOW, GIVE AN EXAMPLE OF EACH: 1. Circle __________________________ 2. Center of circle __________________ 3. Radius of circle __________________ 4. Congruent circles _________________ 5. Diameter of circle ________________ 6. Chord __________________________ 7. Secant__________________________ 8. Tangent ________________________ 9. Tangent circles ___________________ L 10. Concentric circles ________________ C D I A E J N 11. Common tangent _________________ 5 M G 12. Interior of a circle ________________ 13. Exterior of a circle ________________ R P 14. Point of tangency _________________ 15. Central angle ____________________ H B 16. Minor arc _______________________ 18. Semicircle ______________________ K 20. Inscribed angle ___________________ 21. Intercepted arc ___________________ 22. Inscribed polygon ________________ 23. Circumscribed circle ______________ 24. Tangent segment _________________ 25. Secant segment __________________ 26. External segment _________________ L Q 17. Major arc _______________________ 19. Congruent circles _________________ 5 F