chapter 1 · web viewtwo angles are complementary. the measure of one angle is 21 more than twice...
TRANSCRIPT
Chapter 1 Review
Indicate the answer choice that best completes the statement or answers the question.
Write another name for each angle. Use the figure below.
1. QPR
a. 2b. 3c. QPOd. RQP
ALGEBRA Use the figure.
2. If m BGC = 16x – 4 and m CGD = 2x + 13, find the value of x so that BGD is a right angle.a. 0.8b. 4.5c. 9.5d. 7.6
Find the perimeter or circumference and area of each figure. Round to the nearest tenth.
Chapter 1 Review
3. a. 87.9 mi; 153.9 mi2
b. 87.9 mi; 615.8 mi2
c. 44.0 mi; 153.9 mi2
d. 44.0 mi; 615.8 mi2
ALGEBRA In the figure, and are opposite rays, bisects , and bisects .
4. If = 9x + 3 and = 13x – 9, find .
a. 101b. 30c. 3d. 60
Use the number line to find the coordinate of the midpoint of each segment.
5. a. –2b. –4c. –8d. 4
Name the sides of each angle. Use the figure below.
Chapter 1 Review
6. 2a.
, b.
, c.
, d.
,
Name each polygon by its number of sides and then classify it as convex or concave and regular or irregular.
8. a. nonagon; convex; regularb. nonagon; convex; irregularc. nonagon; concave; regulard. octagon; convex; regular
Name the vertex of each angle. Use the figure below.
9. 5a. Mb. Nc. Od. P
Chapter 1 ReviewName the sides of each angle. Use the figure below.
10. MOPa.
, b.
, c.
, d. , ,
Find the measurement of each segment. Assume that each figure is not drawn to scale.
11.
a. 189.6 cmb. 796 cmc. -10.4 cmd. 10.4 cm
Choose a figure for the relationship given below.
12. and intersect at point M in plane T.a. b.
c. d.
Chapter 1 ReviewUse the number line to find each measure.
13. SVa. 8b. –8c. 1d. 9
Find the distance between each pair of points.
14. C(–2, –1), K(8, 3)a.
b.
c. 116d.
Use the number line to find the coordinate of the midpoint of each segment.
15. a.
b. –11c. –5d.
Chapter 1 ReviewRefer to the figure.
16. Name three collinear pointsa. T, Q, Pb. M, X, Tc. S, X, Md. S, X, R
Use the number line to find the coordinate of the midpoint of each segment.
18. a. Sb. 1c. 3d. 2
Find the length of each line segment or object.
19. a.
in.b.
in.c.
in.d.
in.
Chapter 1 Review
Use the number line to find each measure.
20. TVa. 5b. 3c. 1d. –5
Find the distance between each pair of points.
21. a.
b.
c. 65d. 7
ALGEBRA Find the value of x and KL if K is between J and L.
22. JK = 6x, KL = 3x, and JL = 27a. 3; 9b. 9; 3c. 9; 27d. 2; 6
Chapter 1 Review
CHANGING DIMENSIONS Use the rectangle below.
23. Suppose the length and width of the rectangle are doubled. What effect would this have on the perimeter?a. The perimeter doubles.b. The perimeter triples.c. The perimeter quadruples.d. There is no effect.
Refer to the figure.
24. How many planes are shown in the figure?a. 6b. 3c. 7d. 1
Name an angle or angle pair that satisfies each condition.
25. Name two obtuse vertical angles.a. GFH, CFEb. GFC, CHEc. BCD, GCFd. GFH, CBA
Chapter 1 Review
ALGEBRA In the figure, and are opposite rays, bisects , and bisects .
26. If = 4x + 15 and = 6x – 5, find .
a. 83b. 10c. 55d. 110
Find the distance between each pair of points.
27. L(–7, 0), Y(5, 9)a. 225b.
c. 15d.
Name an angle or angle pair that satisfies each condition.
28. Name an angle adjacent and supplementary to DCB.a. GCFb. DCHc. BCDd. CDA
Chapter 1 ReviewALGEBRA Use the figure.
32. If m FGE = 5x + 10, find the value of x so that .a. 16b. –2c. 36d. 20
Determine whether each statement can be assumed from the figure. Explain.
Use the number line to find each measure.
34. VWa. 2b. 4c. 5d. –4
Chapter 1 ReviewRefer to the figure.
36. Name the plane that contains and .a. plane Tb. plane gc. plane MRNd. plane S
Find the coordinates of the missing endpoint if E is the midpoint of .
37. D(–3, –8), E(1, –2)a. F(5, 4)b. F(–1, –5)c. F(4, 6)d. F(–5, –4)
Name an angle or angle pair that satisfies each condition.
39. Name an angle not adjacent to, but complementary to FGC.
a. FGHb. FEDc. CGBd. GHF
Find the measurement of each segment. Assume that each figure is not drawn to scale.
Chapter 1 Review
40.
a. 23.1 cmb. 13.7 cmc. 231 cmd. 3.9 cm
Find the distance between each pair of points.
41. a.
b. 15c.
d. 113
42. ALGEBRA If a supplement of an angle has a measure 78 less than the measure of the angle, what are the measures of the angles?
a. 129, 51b. 78, 12c. 84, 6d. 78, 102
Name the vertex of the angle. Use the figure below.
Chapter 1 Review
43. NMPa. Mb. Nc. Pd. O
Use the number line to find each measure.
44. STa. –4b. –3c. 11d. 3
Find the coordinates of the missing endpoint if E is the midpoint of .
46. F(2, 9), E(–1, 6)a.
D(5, 12)b. D(–4, 3)c. D(0.5, 7.5)d. D(1.5, 1.5)
47. F(5, 8), E(4, 3)a. D(0.5, 5.5)b. D(6, 13)c. D(–1, –5)d. D(3, –2)
Name an angle or angle pair that satisfies each condition.
Chapter 1 Review
48. Name a linear pair with vertex B.
a. GBC, BCDb. BGC, BADc. CBA, DCBd. GBC, ABC
Name the sides of each angle. Use the figure below.
49. 6a.
b. , , c. , d.
50. ALGEBRA Two angles are complementary. The measure of one angle is 21 more than twice the measure of the other angle. Find the measures of the angles.
a. 34.5, 55.5b. 45, 45c. 23, 67d. 53, 127
51. CARPENTRY Jorge used the figure below to make a pattern for a mosaic he plans to inlay on a tabletop. Name all of the congruent segments in the figure.
Chapter 1 Review
a.b.
c.d.
Find the length of each line segment or object.
52. a. 42 cmb. 42 mc. 42 mmd. 4.2 mm
Name each polygon by its number of sides and then classify it as convex or concave and regular or irregular.
53. a. quadrilateral; concave; regularb. quadrilateral; concave;
irregularc. quadrilateral; convex; regulard. quadrilateral; convex; irregular
Determine whether each statement can be assumed from the figure. Explain.
Chapter 1 Review
54. SRQ and QRP are a linear pair.
a. No; they are not vertical angles.b. No; the common sides are not opposite rays.c. Yes; they are adjacent angles whose noncommon sides are opposite rays.d. Yes; they have the same vertex.
Find the coordinates of the midpoint of a segment with the given endpoints.
55. W(–12, –7), T(–8, –4)a. (–2, –1.5)b. (–9.5, –6)c. (–10, –5.5)d. (–2, –5.5)
Find the measurement of each segment. Assume that each figure is not drawn to scale.
59.
a. in.
b. in.
c. in.
d. in.
COORDINATE GEOMETRY Graph each figure with the given vertices and identify the figure. Then find the
Chapter 1 Reviewperimeter and area of the figure.
61. O(3, 2), P(1, 2), Q(1, –4), R(3, –4)a. quadrilateral; 16 units; 12 square unitsb. quadrilateral; 12 units; 16 square unitsc. quadrilateral; 8 units; 12 square unitsd. quadrilateral; 8 units; 16 square units
Classify each angle as right, acute, or obtuse. Then use a protractor to measure the angle to the nearest degree.
62. a. obtuse, 110°b. acute, 110°c. acute, 70°d. right, 90°
Find the distance between each pair of points.
63. V(–2, 5), M(0, –4)a.
b. 25c.
d. 85
Find the perimeter or circumference and area of each figure. Round to the nearest tenth.
65.
a. 16.1 mm; 28 mm2
b. 24.2 mm; 56 mm2
c. 24.2 mm; 28 mm2
d. 16.1 mm; 56 mm2
Chapter 1 Review
67. PERIMETER The coordinates of the vertices of a quadrilateral are R(–1, 3), S(3, 3), T(5, –1), and U(–2, –1). Find the perimeter of the quadrilateral. Round to the nearest tenth.
a. 103b. 48c. 11d. 19.6 units
SEWING Jasmine plans to sew fringe around the circular pillow shown in the diagram.
69. How many inches of fringe does she need to purchase?a. about 15.7 in.b. about 31.4 in.c. about 314.2 in2
d. about 78.5 in2
Find the perimeter or circumference and area of each figure. Round to the nearest tenth.
71.
a. 42 ft; 68 ft2
b. 21 ft; 68 ft2
c. 68 ft; 42 ft2
d. 68 ft; 21 ft2
Chapter 1 ReviewAnswer Key
1. b
2. b
3. c
4. b
5. b
6. c
7. a
8. a
9. a
10. b
11. d
12. b
13. a
14. d
15. d
16. c
17. a
18. b
19. a
20. a
21. b
22. a
23. a
24. a
25. a
26. c
27. c
28. b
29. a
30. c
31. d
32. a
33. a
34. b
35. b
36. d
37. a
38. a
39. b
40. a
41. c
42. a
43. a
44. d
45. c
46. b
47. d
48. d
49. a
50. c
51. b
52. c
53. d
54. c
55. c
56. a
57. c
58. c
59. c
60. b
61. a
62. c
63. c
64. b
65. c
66. a
67. d
68. b
69. b
70. a
71. a