Transcript ExamView - Chapter 1 Assessment.tst

Name: ________________________ Class: ___________________ Date: __________
Chapter 1 Assessment Review
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1. What are the names of three collinear points?
A. Points A, J , and B are collinear.
B. Points L, J , and K are collinear.
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C. Points D, J , and B are collinear.
D. Points D, J , and K are collinear.
2. What are the names of four coplanar points?
A.
B.
C.
D.
Points P, M , F, and C are coplanar.
Points F, D, P, and N are coplanar.
Points P, M , N, and C are coplanar.
Points P, M , D, and C are coplanar.
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ID: A
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3. Are M , N, and O collinear? If so, name the line on which they lie.
A.
B.
C.
D.
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4. What are the names of three planes that contain point A?
A.
B.
C.
D.
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Yes, they lie on the line N P.
Yes, they lie on the line M P.
Yes, they lie on the line M O.
No, the three points are not collinear.
planes ABDC, ABFE, and ACHF
planes ABDC, ABFE, and CDHG
planes CDHG, ABFE, and ACHF
planes ABDC, EFGH , and ACHF
5. Name the ray in the figure.
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A. BA
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B.
AB
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C.
AB
D. AB
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→
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6. What is the name of the ray that is opposite BD ?
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A. BD
B.
CD
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C.
2
BA
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D.
AD
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7. What are the names of the segments in the figure?
A.
B.
C.
D.
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The three segments are AB, CA, and AC .
The three segments are AB, BC , and BA .
The three segments are AB, BC , and AC .
The two segments are AB and BC .
8. What is the intersection of plane STXW and plane SVUT?
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A. SV
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←
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ST
C. YZ
D. TX
B. 16
C. 15
D. 3
B.
9. What is the length of AC ?
A. 13
____ 10. If EF = 6 and EG = 21 , find the value of FG. The drawing is not to scale.
A. 17
B. 15
C. 14
D. 6
____ 11. If EF = 4x + 15, FG = 39, and EG = 110 , find the value of x. The drawing is not to scale.
A. x = 56
B. x = 16
C. x = 14
D. x = 2
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____ 12. If EF = 2x − 12, FG = 3x − 15, and EG = 23, find the values of x, EF, and FG. The drawing is not to scale.
A. x = 10, EF = 8, FG = 15
B. x = 3, EF = –6, FG = –6
C. x = 10, EF = 32, FG = 45
D. x = 3, EF = 8, FG = 15
____ 13. If EG = 25, and point F is 2/5 of the way between E and G, find the value FG.
The drawing is not to scale.
A. 12.5
B. 10
C. 15
D. 20
____ 14. What segment is congruent to AC ?
A. BD
B. BE
C. CE
D. none
____ 15. If Z is the midpoint of RT , what are x, RZ, and RT?
A. x = 18, RZ = 134, and RT = 268
B. x = 22, RZ = 150, and RT = 300
C. x = 20, RZ = 150, and RT = 300
D. x = 20, RZ = 300, and RT = 150
____ 16. Which point is the midpoint of AE ?
A. D
B. B
C. not B, C, or D
D. C
____ 17. If T is the midpoint of SU , what are ST, TU, and SU?
A. ST = 7, TU = 63, and SU = 126
B. ST = 80, TU = 80, and SU = 160
C. ST = 18, TU = 18, and SU = 36
D. ST = 63, TU = 63, and SU = 126
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____ 18. Which angle is a right angle?
A.
B.
C.
D.
____ 19. Judging by appearance, name an acute angle, an obtuse angle, and a right angle.
A. ∠X, ∠Y, ∠W
B. ∠U, ∠W, ∠Y
C. ∠W, ∠X, ∠V
D. ∠U, ∠V, ∠Y
____ 20. What are the measures of ∠FBG and ∠ABC ? Classify each angle as acute, right, obtuse, or straight.
A. m∠FBG = 35°; ∠FBG is acute.
m∠ABC = 180°; ∠ABC is straight.
B. m∠FBG = 35°; ∠FBG is straight.
m∠ABC = 180°; ∠ABC is acute.
C. m∠FBG = 35°; ∠FBG is acute.
m∠ABC = 170°; ∠ABC is obtuse.
D. m∠FBG = 45°; ∠FBG is acute.
m∠ABC = 180°; ∠ABC is straight.
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____ 21. Complete the statement.
The drawing is not to scale.
If m∠GDF =54º, then m∠EDF = ? .
A. 27°
B. 54°
C. 63°
D. none of these
____ 22. If m∠AOC = 85°, m∠BOC = 2x + 10, and m∠AOB = 4x − 15, find the degree measure of ∠BOC and ∠AOB.
The diagram is not to scale.
A. m∠BOC = 30°; m∠AOB = 55°
B. m∠BOC = 40°; m∠AOB = 45°
C. m∠BOC = 45°; m∠AOB = 40°
D. m∠BOC = 55°; m∠AOB = 30°
____ 23. If m∠DEF = 119, then what are m∠FEG and m∠HEG? The diagram is not to scale.
A. m∠FEG = 71, m∠HEG = 119
B. m∠FEG = 119, m∠HEG = 61
C. m∠FEG = 61, m∠HEG = 129
D. m∠FEG = 61, m∠HEG = 119
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____ 24. If m∠EOF = 26 and m∠FOG = 38, then what is the measure of ∠EOG? The diagram is not to scale.
A. 64
B. 12
C. 52
D. 76
____ 25. How are the two angles related?
A. supplementary
B. adjacent
C. vertical
D. complementary
____ 26. Name an angle supplementary to ∠COD.
A. ∠BOD
B. ∠COA
C. ∠AOE
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D. ∠COB
____ 27. Name an angle complementary to ∠BOC.
A. ∠DOE
B. ∠BOE
C. ∠BOA
D. ∠COD
C. ∠HGI
D. ∠HGJ
C. ∠HGJ
D. ∠JGI
____ 28. Name an angle vertical to ∠EGH.
A. ∠EGF
B. ∠IGF
____ 29. Name an angle adjacent to ∠DGE.
A. ∠FGI
B. ∠EGH
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____ 30. Two angles whose sides are opposite rays are called ____ angles. Two coplanar angles with a common side,
a common vertex, and no common interior points are called ____ angles.
A. vertical; adjacent
B. adjacent; vertical
C. vertical; supplementary
D. adjacent; complementary
____ 31. In the figure shown, m∠AED = 121. Which of the following statements is false?
A.
B.
C.
D.
Not drawn to scale
m∠AEB = 59
∠BEC and ∠AED are vertical angles.
∠AEB and ∠BEC are vertical angles.
m∠BEC = 121
____ 32. The complement of an angle is 53°. What is the measure of the angle?
A. 37°
B. 137°
C. 47°
D. 127°
____ 33. ∠DFG and ∠JKL are complementary angles. m∠DFG = x + 2 , and m∠JKL = x − 4 . Find the measure of
each angle.
A. ∠DFG = 48, ∠JKL = 42
C. ∠DFG = 46, ∠JKL = 44
B. ∠DFG = 48, ∠JKL = 52
D. ∠DFG = 46, ∠JKL = 54
____ 34. ∠1 and ∠2 are a linear pair. m∠1 = x − 15, and m∠2 = x + 77. Find the measure of each angle.
A. ∠1 = 59, ∠2 = 131
C. ∠1 = 44, ∠2 = 146
B. ∠1 = 44, ∠2 = 136
D. ∠1 = 59, ∠2 = 121
____ 35. Angle A and angle B are a linear pair. If m∠A = 4m∠B, find m∠A and m∠B.
A. 144, 36
B. 36, 144
C. 72, 18
D. 18, 72
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____ 36. SQ bisects ∠RST , and m∠RSQ = 2x − 4. Write an expression for ∠RST . The diagram is not to scale.
A. x – 2
B. 4x – 4
C. 2x – 4
9
D. 4x – 8
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____ 37. MO bisects ∠LMN, m∠LMO = 6x − 20, and m∠NMO = 2x + 36. Solve for x and find m∠LMN. The
diagram is not to scale.
A. x = 13, m∠LMN = 116
B. x = 13, m∠LMN = 58
C. x = 14, m∠LMN = 128
D. x = 14, m∠LMN = 64
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____ 38. MO bisects ∠LMN , m∠LMN = 5x − 22, m∠LMO = x + 31. Find m∠NMO. The diagram is not to scale.
A. 88.5
B. 64
C. 59
D. 44.25
C. 1
D. 3
____ 39. Which point is the midpoint of AB?
A. –0.5
B. 2
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____ 40. Find the midpoint of PQ.
A. (2, 0)
B. (2, 1)
C. (1, 1)
D. (1, 0)
____ 41. Find the coordinates of the midpoint of the segment whose endpoints are H(6, 4) and K(2, 8).
A. (4, 4)
B. (2, 2)
C. (8, 12)
D. (4, 6)
____ 42. M is the midpoint of CF for the points C(3, 7) and F(5, 5). Find MF.
A. 2
B. 2 2
C.
2
D. 4
____ 43. M(7, 5) is the midpoint of RS . The coordinates of S are (8, 7). What are the coordinates of R?
A. (9, 9)
B. (6, 3)
C. (14, 10)
D. (7.5, 6)
____ 44. T(6, 12) is the midpoint of CD. The coordinates of D are (6, 15). What are the coordinates of C?
A. (6, 18)
B. (6, 24)
C. (6, 9)
D. (6, 13.5)
____ 45. Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.
A. 11
B. 7.8
C. 61
D. 14.9
____ 46. The Frostburg-Truth bus travels from Frostburg Mall through the city’s center to Sojourner Truth Park. The
mall is 4 miles east and 5 miles north of the city’s center. Truth Park is 4 miles west and 2 miles south of the
city’s center. How far is it from Truth Park to the mall to the nearest tenth of a mile?
A. 10.6 miles
B. 4.5 miles
C. 6.4 miles
D. 3 miles
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____ 47. Each unit on the map represents 5 miles. What is the actual distance from Oceanfront to Seaside?
A. about 10 miles
B. about 50 miles
C. about 8 miles
D. about 40 miles
____ 48. A high school soccer team is going to Columbus, Ohio to see a professional soccer game. A coordinate grid
is superimposed on a highway map of Ohio. The high school is at point (3, 4) and the stadium in Columbus is
at point (7, 1). The map shows a highway rest stop halfway between the cities. What are the coordinates of
the rest stop? What is the approximate distance between the high school and the stadium? (One unit ∼ 8.6
miles.)
ÊÁ 5 ˆ˜
ÊÁ 3 5 ˆ˜
C. ÁÁÁÁ 5, ˜˜˜˜ , 43 miles
A. ÁÁÁÁ , ˜˜˜˜ , 21.5 miles
Ë 2 2¯
Ë 2¯
ÊÁ 5 ˆ˜
ÊÁ 3 5 ˆ˜
B. ÁÁÁÁ , ˜˜˜˜ , 215 miles
D. ÁÁÁÁ 5, ˜˜˜˜ , 5 miles
Ë 2 2¯
Ë 2¯
____ 49. Find the perimeter of the rectangle. The drawing is not to scale.
A. 95 feet
B. 190 feet
C. 124 feet
D. 161 feet
____ 50. Ken is adding a ribbon border to the edge of his kite. Two sides of the kite measure 9.5 inches, while the
other two sides measure 17.8 inches. How much ribbon does Ken need?
A. 45.1 in.
B. 27.3 in.
C. 54.6 in.
D. 36.8 in.
____ 51. Jose wants to put a fence around his rectangular garden. His garden measures 33 feet by 39 feet. The garden
has a path around it that is 3 feet wide. How much fencing material does Jose need to enclose the garden and
path?
A. 120 ft
B. 156 ft
C. 168 ft
D. 84 ft
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____ 52. Find the circumference of the circle to the nearest tenth. Use 3.14 for π.
A. 78.5 m
B. 314 m
C. 1962.5 m
D. 157 m
____ 53. Find the circumference of the circle in terms of π .
A. 156π in.
B. 39π in.
C. 1521π in.
D. 78π in.
____ 54. Find the perimeter of ∆ABC with vertices A(1, 1), B(7, 1), and C(1, 9).
A. 114 units
B. 24 units
C. 28 units
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D. 14 units
____ 55. Find the perimeter of parallelogram ABCD with vertices A(–5, 6), B(2, 6), C(1, –2), and D(8, –2).
A. 17 units
B. 40 units
C. 34 units
D. 43 units
____ 56. Miriam has 62 feet of fencing to make a rectangular vegetable garden. Which dimensions will give Miriam
the garden with greatest area? The diagrams are not to scale.
C.
A.
B.
D.
____ 57. If the perimeter of a square is 140 inches, what is its area?
A. 1225 in. 2
B. 35 in. 2
C. 19,600 in. 2
D. 140 in. 2
____ 58. Find the area of a rectangle with base of 2 yd and a height of 5 ft.
A. 10 yd 2
B. 30 ft 2
C. 10 ft 2
D. 30 yd 2
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____ 59. Find the area of the circle in terms of π .
A. 42π in.2
B. 1764π in.2
C. 441π in.2
D. 84π in.2
____ 60. Find the area of the circle to the nearest tenth. Use 3.14 for π .
A. 30.5 in.2
B. 295.4 in.2
C. 60.9 in.2
D. 73.9 in.2
____ 61. Find, to the nearest tenth, the area of the region that is inside the square and outside the circle. The circle has
a diameter of 6 inches.
A. 7.7 in. 2
B. 28.3 in. 2
C. 1.9 in. 2
D. 36 in. 2
____ 62. The figure is formed from rectangles. Find the total area. The diagram is not to scale.
A. 104 ft 2
B. 36 ft 2
C. 80 ft 2
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D. 68 ft 2
63. Vernon is making a container, as shown below, for shipping an odd-shaped item. Draw a net for the
container.
Draw a net for the figure shown. Label the net with its dimensions.
64.
65. What are three other names for line p?
66. Name four rays shown.
67. On a number line, P has coordinate –30 and Q has coordinate 27. Find PQ.
68. Are AC and BE congruent? Explain.
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69. What are three names for the angle?
70. What are two other names for ∠2?
71. You live in Carson City, Nevada, which has approximate (latitude, longitude) coordinates of (39N, 120W).
Your friend lives in Ottawa, Ohio, with coordinates of (41N, 84W). You plan to meet halfway between the
two cities. Find the coordinates of the halfway point.
72. Plot the points A(9, 11) and B(–3, –5). Find midpoint M of AB. Then show that AM = MB and AM + MB =
AB.
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73. If AB is opposite AC and AC is opposite AD , what can you conclude? Explain.
74. You are given two segments, AB with AB = 5 and CD with CD = 8. Explain how you could use only the
congruent-segments construction to construct EF with EF = 2.
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ID: A
Chapter 1 Assessment Review
Answer Section
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63.
64. Answers may vary. Sample answer:
←
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→ ←
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65. Answers may vary. Sample: BC , BD , CB
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66. Answers may vary. Sample: VX , XY , YZ , ZY
67. 57
68. No, AC = || 0 − (−7) || = 7 and BE = || 6 − (−2) || = 8.
Segments must be the same length to be congruent.
69. Answers may vary. Sample: ∠2, ∠J, ∠IJK
70. ∠LMK and ∠KML
2
ID: A
71. (40N, 102W)
72.
[4]
M=(
AM =
9 + (−3) 11 + (−5)
6 6
,
) = ( , ) = (3, 3)
2
2
2 2
(9 − 3) 2 + (11 − 3) 2 =
62 + 82 =
MB = (3 − (−3)) 2 + (3 − (−5)) 2 =
Therefore, AM = MB.
[3]
[2]
[1]
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→
36 + 64 =
62 + 82 =
100 = 10
36 + 64 =
100 = 10
AB = (9 − (−3)) 2 + (11 − (−5)) 2 = 12 2 + 16 2 = 144 + 256 =
Thus, AM + MB = 10 + 10 = 20 = AB.
shows correct plot, finds correct midpoint, and shows one equality
shows correct plot and finds correct midpoint
shows correct plot or finds correct midpoint
400 = 20
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→
73. AB = AD . Sample explanation: Both rays have endpoint A and extend in the direction away from point C.
74. Answers may vary. Sample: Construct GH with GH = CD – AB = 3. Then construct JK with
JK = AB – GH = 2.
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