Arcs Angles and Segments Homework.pdf - Angles Arcs and...

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Unformatted text preview: Angles, Arcs, and Segments Homework Use the diagram to name a point, segment, line or circle that represents the phrase. Make sure you are using proper notation or type the word “arc” or “angle” before the name. 1. Diameter of ʘ C. segment AH 2. Chord of ʘ D. segment EF 3. Point of Tangency of ʘ C. Point A 4. Common Tangent Line AG 5. Secant line AI 6. Point of tangency of ʘ C and ʘ D. 7. Minor arc arc AB 8. Major arc arc AHB 9. Central angle angle BDE 10. Inscribed angle angle BAH Point B Use this diagram to find the measure of each arc. AB and CD are diameters of circle F. 58 + 32 + x = 180 x + 90 = 180 x + 90 - 90 = 180 - 90 x = 90 degrees 11. 90 degrees 12. 32 degrees 90 degrees 32 + 90 + 58 + 32 = 212 degrees 212 degrees Find the value of x. Show all your work to receive credit. NO WORK = NO CREDIT. Circle your final answer. 13. 14. 15. 13. 180 - x = 1/2(128) 180 - x = 64 180 - x - 180 = 64 - 180 -x = -116 x= 116 degrees 14. x = 1/2(175-63) x = 1/2(112) x = 56 degrees 16. 17. 17. 360 - 122 = 238 x = 1/2(238-122) x = 1/2(116) x = 58 degrees 16. 16x = 12 x 8 16x = 96 16x/16 = 96/16 x = 6 units 15. x = 1/2(83+53) x = 1/2(136) x = 68 degrees 18. 18. x(x+30) = 20^2 x^2 + 30x = 400 x^2 + 30x + 15^2 = 400 + 15^2 (x+15)^2 = 625 (x+15) = + or -25 x = 25 - 15 or x = -25 - 15 x = 10 or x = -40 x = 10 units ...
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