University:
North Central College
Course:
MATH 140 | Precalculus
Academic year:

2019
Views:

229

Pages:

4
Author:

Clint W.

10.1-10.3 Quiz REVIEW Name: Key State the best term for the given figure in the diagram. 1. F Point of tangency 2. FE Radius 3. HG Radius 4. DB Chord 5. C Center 6. BE Diameter 7. DB Secant 8. AG Common tangent In the diagram, assume that segments are tangents if they appear to be. Find the value(s) of x. 9. x² + 99² = (x+81)² x² + 9801 = x² + 162x + 6561 5240 = 162x 20 = x 10. x² + 6² = 25² x² + 36 = 625 x² = 589 x = √589 11. 6x + 5 = 37 - 2x 8x = 32 x = 4 12. 4x² + 5x = 6 4x² + 5x - 6 = 0 (4x - 3)(x + 2) = 0 x = 3/4 or x = -2 **MQ and NR are diameters of Circle O. Determine whether the given arc is a minor arc, a major arc, or a semicircle. Then find the measure of the arc.** 13. MN: 73° (minor arc) 14. NQ: 107° (minor arc) 15. NO: 180° (semicircle) 16. MRP: 206° (major arc) 17. PR: 81° (minor arc) 18. MNQ: 180° (semicircle) 19. QR: 73° (minor arc) 20. MR: 107° (minor arc) 21. QMR: 287° (major arc) 22. PQ: 26° (minor arc) 23. PRN: 279° (major arc) 24. MQN: 287° (major arc) **Find the indicated arc measure.** 25. mQS: 308° 26. m∠JKL: 143° 27. mDH: 30° **Tell whether the two arcs are congruent.** 28. JR and QR: No. Radii must be congruent to have congruent arcs. 29. AB and CD: Yes, congruent. 30. EF and GH: No. Don't know if the circles are congruent. 31. STV and UTV: No. Need equal measures to be congruent. **Find the value of x.** 32. 180° = 67° + x x = 113° 33. 17x + 12° = 180° 17x = 168° x = 12° **P is the center of the circle. Use the given information to find XY.** 34. ZY = 6, XW = 4 XY = 6 + 4 XY = 10 35. XY = 6 **Find the measure of MN.** 36. MN = 360° - 135° - 135° = 90° 37. MN = 360° - 65° - 65° = 230° 38. MN = 360° - 147° - 147° = 66° 39. MN = 360° - 132° - 132° = 96° 40. MN = 360° - 100° - 100° = 160° 41. MN = 360° - 260° = 100° 42. 180° = 70° + 45° + 20° + x x = 45° 43. 3x + 16 = 12x + 7 4 = 3x x = 4/3 44. 3x + 11 = x + 9 2x = -2 x = -1