Download 1.3 In Exercises 1–8, use the diagram. 1. Gi

Name______________________________________
Lesson 1.1
Geometry
Homework Packet 1.1 – 1.3
For use with pages 2–8
In Exercises 1–8, use the diagram.
1. Give two other names for AB .
2. Name three points that are collinear.
3. Give another name for plane F.
4. Name a point that is not coplanar with A, B, and C.
5. Give another name for CD .
6. Name three rays with endpoint B.
7. Name a pair of opposite rays.
8. Give another name for CD .
Sketch the figure described.
9. Three points that are collinear
10. Four points that are coplanar
11. Four points that are coplanar
12. Three lines that intersect at one point
13. A line and a plane that intersect at one point
Use the diagram to decide whether the given statement is true or false.
14. Points H, I, and G are collinear.
15. Points H, I, and J are coplanar.
16. EG and FG are opposite rays.
17. All points onGI and GF are coplanar.
18. The intersection of EF and plane JKH is HI .
19. The intersection of EF , HI , and JG is point G.
20. The intersection of plane EGH and plane JGI is point G.
21. The intersection of plane EFI and plane JKG isHG.
In Exercises 22 - 29 , use the diagram.
22. Are points J, K, and L collinear?
23. Are points J, K, and L coplanar?
24. Are points J, K, and M collinear?
25. Are points J, K, and M coplanar?
26. Name the intersection of KL and PQ .
27. Name the intersection of PQ and plane KMN.
28. Name the intersection of plane R and plane S.
29. Name three pairs of opposite rays.
You are given an equation of a line and a point. Use substitution to determine whether the point is on the
line. Show work/evidence.
30.
y = 5x + 3
A(1,8)
31.
y = −x + 3
A(6,3)
32.
y = −3x − 6
A(2,0)
33. 2x−y = 7
A(3,−1)
34. x + 6y = 40
A(−l0, 5)
35. −x − 4y = −14
A(−6,2)
Graph the inequality on a number line. Tell whether the graph is a segment, a ray or rays, a point, or a
line.
36. x ≥ 2
37. 2 ≤ x ≤ 5
38. x ≤ 0 and x ≤ 8
39. | x | ≤ 0
LESSON 1.2
For use with pages 9–14
Measure the length of the segment to the nearest tenth of a centimeter.
40.
41.
42.
Use the segment Addition Postulate to find the indicated length.
43. Find RT.
44. Find BC.
45. Find MN.
46. Find XY.
Use the number line to find the indicated distance.
47. AB
48. AD
49. CD
50. BD
51. CE
52. AE
53. BE
54. DE
In the diagram, points A, B, C, and D are collinear, points C, X, Y and Z are collinear, AB = BC = CX = YZ, AD = 54, XY = 22,
and XZ = 33. Find the indicated length.
55. AB
56. BD
57. CY
58. CD
59. XC
60. CZ
Find the indicated length.
60. Find LM.
61. Find ST.
62. Find VW.
63. Find AC.
64. Find YZ.
65. Find NP.
LESSON 1.3
For use with pages 15–22
Line l bisects the segment. Find the indicated length.
66. Find AC if AB = 6 cm.
67. Find DF if DE = 17 cm.
68. Find GJ if HJ = 8
in.
1
4
69. Find LM if KM = 24 3 in.
41
70. Find NP if NQ = 31.8 cm.
71. Find ST if RT = 109 in.
In each diagrams, M is the midpoint of the segment. Find the indicated length.
72. Find XM.
AB
73. Find MF.
74. Find MH.
75. Find JK.
76. Find LN.
77. Find PQ.
Find the coordinates of the midpoint of the segment with the given endpoints.
78. R(3, 1) and S(3, 7)
79. V(2, 4) and W(6, 6)
80. S (4, –1) and T (6, 0)
81. L (4,2) and P (0, 2)
82. H (–5, 5) and (7,3)
83. G (–2, –8) and H (–3, –12)
YZ is a segment. Y is one endpoint of a segment and M is the midpoint of the segment. Find the other
endpoint, Z.
84. Y(0, 5), M(3, 3)
85. Y(–l, –3), M(5, 9)
86. Y (6,0), M (0,2)
87. Y (3,4),
M (3, –2)
88. Y (–3, –2),
M (–1, –8)
Find the length of the segment. Round to the nearest tenth of a unit.
89.
90.
The endpoints of two segments are given. Find each segment length. Tell whether the segments are
congruent.
91. JK : J (1, l), K (0,5)
LM: (1, l), M (-3, 2)
92. PQ : P (4, 3), Q (–1, 6)
RS : R (2, –3), S (–2, 0)
93. AB : A (2, 6), B (0, 3)
CD: C (–1, 0), D (1, 3)
94.
RS : R (5, 4), S (0, 4)
TU : T (–4, –3), U (–1, 1)
95.
KL : K (–4, 13), L (–1, –11)
MN : M (–1, –2), N (–1, –11)
96. Distances Your house and your school are 8.4 miles apart on the same straight road. A baseball field is
halfway between your house and your school, on the same road.
a. Draw a sketch to represent this situation. Mark the locations of the house, school, and field. How far is
your house from the baseball field?
b. You walk at an average speed of 3 miles per hour. About how long would it take you to walk to the
baseball field?