Name______Date______Period______
Geometry 250 Semester 1 Final Review!!!!!!!!!!!!!!!!
. 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:
Objectives:
1. Identify & name points, lines, planes, segments, rays, opposite rays, coplanar points, noncoplanar points, collinear points, noncollinear points, and intersections in a given figure.
2. Identify and name parallel, intersecting, and skew lines.
3. Use Distance & Midpoint Formulas.
4. Use the segment addition postulate, definition of segment bisector & midpoint, and definition of congruent segments to solve for missing segment lengths.
5. Use the angle addition postulate, definition of angle bisector, and definition of angle relationships to solve for missing angle measures.
6. Use parallel lines, angle-pair relationships, and/or triangle angle sum theorem to identify and solve for missing angle measures.
7. Use slope formula & find slope from an equation of a line.
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.
2. Give another name for plane ABC.
3. Name the intersection of and plane L.
4. Name the intersection of plane ABC and plane L.
5. Name the intersection of and .
6. Are D, E, and F coplanar? Explain.
7. Are D, E, and F collinear? Explain.
8. Are B, C, and D coplanar? Explain.
9. Are B, C, and D collinear? Explain.
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.
a. and e. and
b. and f. and
c. and g. and
d. and h. and
Objective 3: Use Distance Formula & Midpoint Formula.
10. What is the distance between R(5, -20) and S(-17, 7)?
11. Find the midpoint of a segment with endpoints R(5, -20) and S(-17, 7).
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 .
14. B is the midpoint of . A has coordinates (-3, 7) and B has coordinates (-6, 11). Find the coordinates of C.
Objective 4: Use the segment addition postulate, definition of segment bisector & midpoint, and definition of congruent segments to solve for missing segment lengths.
15. Point Q is the midpoint of with XQ = 4d – 9 and QY = 10d - 51. Find the following:
a. d b. XQ c. XY
16. Point Q is between J and K on with JQ = 5y – 11 and KQ = 10y - 51. If , then find the following:
b. y b. JQ c. JK 17. What value of x would make M the midpoint of segment SU?
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.
Objective 5: Use the angle addition postulate, definition of angle bisector, and definition of angle relationships to solve for missing angle measure.
19. If m∠4 = (5k + 12)°, m∠5 = (3k + 26)°, and m∠1 = (4k - 2)° then find m∠4.
20. If m∠ AED = (12x - 2)°, and m∠ BEC = (11x + 4)°, find m∠ CED. 21. Give a possible solution (think acute, right, obtuse angles):
a. m∠ ETF =
m∠ FTR =
b. m∠ ETK =
m∠ KTH =
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.
Objective 6: Use parallel lines, angle-pair relationships, and/or triangle angle sum theorem to identify and solve for missing angle measures.
24. Classify the angle pairs as corresponding, alternate interior, alternate exterior or consecutive interior.
a. ∠5 and ∠1
b. ∠4 and ∠6
c. ∠16 and ∠10
d. ∠11 and ∠16 e. ∠12 and ∠14
f. ∠7 and ∠14
25. If m∠ H = 21°, find & justify the following:
a. m∠ JKF =
b. m∠ CJM = c. m∠ JMD =
26. In the figure m || n and m∠2 = 52° Using the diagram, evaluate the following as true/false:
a. ∠2 and ∠ 4 are supplementary angles.
b. ∠1 and ∠ 3 are consecutive interior angles.
c. m∠7 = 52°
d. ∠6 and ∠ 3 are alternate exterior angles.
e. m∠8 = 52°
f. ∠7 and ∠ 3 are corresponding angles g. m∠6 = 52°
27. If || , m∠ABP = 74°, and m∠APB =44°, then find m∠ E.
28. In ∆LMN shown at right, and m∠ M is 46°.
a. What is the measure of ∠N?
b. Classify the triangle as scalene, isosceles, equilateral, right, or right isosceles.
29. In ∆BAC shown below, m∠XBA = 120° and m∠ACY = 120°. a. What is the measure of ∠A?
b. Classify the triangle as scalene, isosceles, equilateral, right, or right isosceles.
30. A triangle has the given vertices S(0, 0), O(6, 3), and L(-1, 2).
a. Classify ΔSOL by its sides. Show all work and justify your answer.
Objective 7: Use slope formula & find slope from an equation of a line.
31. What is the value of d if the lines that passes through points (8d, 15) and (10d, 11) has a slope of - ?
32. Given the equation of a line is -3x + 7y = 5. b. What is the slope of a parallel line?
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.
63. Find the slope of a line with points (-5, 7) and (-4, 8).
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.
71. 72. 73. 74.