<p>Name______Date______Period______</p><p>Geometry 250 Semester 1 Final Review!!!!!!!!!!!!!!!!</p><p>. Point . Congruent Segments . Supplementary . Line . Midpoint Angles . Corresponding . Plane . Bisect . Linear Pair . Consecutive Interior . Segment . Angle . Distance (Same-Side Interior) . Endpoint . Acute Angle . Midpoint . Triangle-Angle Sum . Ray . Right Angle . Parallel Theorem . Coplanar . Obtuse Angle . Intersecting . Slope . Noncoplanar . Straight Angle (Oblique) . Slope-Intercept . Collinear . Congruent Angles . Skew . Opposite Reciprocal . Noncollinear . Vertical Angles . Perpendicular . Intersect . Complementary . Alternate Interior . Intersection Angles . Alternate Exterior Vocabulary: Be able to define/create an example of the following:</p><p>Objectives:</p><p>1. Identify & name points, lines, planes, segments, rays, opposite rays, coplanar points, noncoplanar points, collinear points, noncollinear points, and intersections in a given figure. </p><p>2. Identify and name parallel, intersecting, and skew lines. </p><p>3. Use Distance & Midpoint Formulas.</p><p>4. Use the segment addition postulate, definition of segment bisector & midpoint, and definition of congruent segments to solve for missing segment lengths. </p><p>5. Use the angle addition postulate, definition of angle bisector, and definition of angle relationships to solve for missing angle measures. </p><p>6. Use parallel lines, angle-pair relationships, and/or triangle angle sum theorem to identify and solve for missing angle measures. </p><p>7. Use slope formula & find slope from an equation of a line.</p><p>Objective 1: Identify & name points, lines, planes, segments, rays, coplanar points, noncoplanar points, collinear points, noncollinear points, and intersections in a given figure. 1. Give another name for plane L.</p><p>2. Give another name for plane ABC.</p><p>3. Name the intersection of and plane L.</p><p>4. Name the intersection of plane ABC and plane L.</p><p>5. Name the intersection of and .</p><p>6. Are D, E, and F coplanar? Explain.</p><p>7. Are D, E, and F collinear? Explain.</p><p>8. Are B, C, and D coplanar? Explain.</p><p>9. Are B, C, and D collinear? Explain.</p><p>Objective 2: Name and identify parallel, skew, and/or intersecting lines. Classify the following lines as intersecting, parallel, and/or skew. If it is none, then put none.</p><p> a. and e. and </p><p> b. and f. and </p><p> c. and g. and </p><p> d. and h. and </p><p>Objective 3: Use Distance Formula & Midpoint Formula.</p><p>10. What is the distance between R(5, -20) and S(-17, 7)?</p><p>11. Find the midpoint of a segment with endpoints R(5, -20) and S(-17, 7).</p><p>12. Given a segment with endpoints R(-4, -18) and S(-12, 8) find the distance from R to S. 13. Given a segment with endpoints R(-4, -18) and S(-12, 8) find the midpoint of .</p><p>14. B is the midpoint of . A has coordinates (-3, 7) and B has coordinates (-6, 11). Find the coordinates of C.</p><p>Objective 4: Use the segment addition postulate, definition of segment bisector & midpoint, and definition of congruent segments to solve for missing segment lengths.</p><p>15. Point Q is the midpoint of with XQ = 4d – 9 and QY = 10d - 51. Find the following:</p><p> a. d b. XQ c. XY</p><p>16. Point Q is between J and K on with JQ = 5y – 11 and KQ = 10y - 51. If , then find the following:</p><p> b. y b. JQ c. JK 17. What value of x would make M the midpoint of segment SU?</p><p>18. Points A, B, C and D are collinear. Point B is the midpoint of segment AC. If AD = 42 and CD = 12, determine the length of segment AB.</p><p>Objective 5: Use the angle addition postulate, definition of angle bisector, and definition of angle relationships to solve for missing angle measure.</p><p>19. If m∠4 = (5k + 12)°, m∠5 = (3k + 26)°, and m∠1 = (4k - 2)° then find m∠4.</p><p>20. If m∠ AED = (12x - 2)°, and m∠ BEC = (11x + 4)°, find m∠ CED. 21. Give a possible solution (think acute, right, obtuse angles):</p><p> a. m∠ ETF =</p><p> m∠ FTR =</p><p> b. m∠ ETK =</p><p> m∠ KTH =</p><p>22. bisects ∠ AFM. If m∠ LFM = (11x + 4)°, and m∠ AFL = (12x - 2)°, then find m∠ LFM. 23. bisects ∠ AFM. If m∠ AFM = (6x - 2)°, and m∠ AFL = (4x - 10)°, then find m∠ LFM.</p><p>Objective 6: Use parallel lines, angle-pair relationships, and/or triangle angle sum theorem to identify and solve for missing angle measures.</p><p>24. Classify the angle pairs as corresponding, alternate interior, alternate exterior or consecutive interior.</p><p> a. ∠5 and ∠1</p><p> b. ∠4 and ∠6</p><p> c. ∠16 and ∠10</p><p> d. ∠11 and ∠16 e. ∠12 and ∠14</p><p> f. ∠7 and ∠14</p><p>25. If m∠ H = 21°, find & justify the following:</p><p> a. m∠ JKF = </p><p> b. m∠ CJM = c. m∠ JMD = </p><p>26. In the figure m || n and m∠2 = 52° Using the diagram, evaluate the following as true/false:</p><p> a. ∠2 and ∠ 4 are supplementary angles.</p><p> b. ∠1 and ∠ 3 are consecutive interior angles.</p><p> c. m∠7 = 52°</p><p> d. ∠6 and ∠ 3 are alternate exterior angles.</p><p> e. m∠8 = 52°</p><p> f. ∠7 and ∠ 3 are corresponding angles g. m∠6 = 52°</p><p>27. If || , m∠ABP = 74°, and m∠APB =44°, then find m∠ E.</p><p>28. In ∆LMN shown at right, and m∠ M is 46°. </p><p> a. What is the measure of ∠N?</p><p> b. Classify the triangle as scalene, isosceles, equilateral, right, or right isosceles.</p><p>29. In ∆BAC shown below, m∠XBA = 120° and m∠ACY = 120°. a. What is the measure of ∠A?</p><p> b. Classify the triangle as scalene, isosceles, equilateral, right, or right isosceles.</p><p>30. A triangle has the given vertices S(0, 0), O(6, 3), and L(-1, 2).</p><p> a. Classify ΔSOL by its sides. Show all work and justify your answer.</p><p>Objective 7: Use slope formula & find slope from an equation of a line.</p><p>31. What is the value of d if the lines that passes through points (8d, 15) and (10d, 11) has a slope of - ?</p><p>32. Given the equation of a line is -3x + 7y = 5. b. What is the slope of a parallel line?</p><p> a. What is the slope of the line? 34. c. What is the slope of a perpendicular 33. line? 35. Find the slope of the graphed line. 40. 36. 41. 37. 42. 38. 43. 39. 44. 45. Graph a line that is perpendicular to and passes through (1, 3). 51. Graph a line that is ⟘ to 46. 47. 52. 48. 53. 49. 54. 50. 55. 56. 57. 58. 59. 60. 61. 62.</p><p>63. Find the slope of a line with points (-5, 7) and (-4, 8).</p><p>64. 65. 66. 67. 68. 69. 70. Line j | line k. If line j has a slope of and line k has a slope of then find the value of x.</p><p>71. 72. 73. 74.</p>