Download Practice Geometry A Final version A Multiple Choice 1. Which is an

Practice Geometry A Final version A
Please do not write on this test. Record your answers on the provided answer sheet. If you need extra scratch paper, please
raise your hand and paper will be provided. Good Luck.
Multiple Choice
1. Which is an equation of the line with x-intercept 2 and y-intercept 12?
a. y = –6x + 12
b. y = 2x + 12
c. y = 6x + 12
d. y = 12x + 2
2. If
ABC is isosceles with vertex angle
?
a. SSS
b. SAS
c. ASA
B, and
, which theorem or postulate can be used to prove
d. AAS
Use the figure below to answer the following questions.
3. Name the intersection of the plane P and the plane that contains points B, C, and D.
a. point B
b.
c.
d.
4. Which three points in the figure are collinear?
a. A, B, D
b. A, B, C
c. E, C, A
d. F, E, G
5. Find the length of
a. 50.9 cm
.
b. 38.3 cm
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c. 25.7 cm
d. 12.6 cm
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Practice Geometry A Final version A
Use the figure below to answer the following questions.
6. If m AFB = 5x – 10 and m BFC = 3x + 20, find x.
a. 10
b. 15
c. 21.25
d. 23. 75
7. If m BFC = 70, find m EFD.
a. 10
b. 20
c. 35
d. 70
8. Which of the following sets of numbers can be the lengths of the sides of a triangle?
a. 6, 6, 12
b. 6, 7, 13
c.
d. 2.6, 8.1, 10.2
Use the figure below to answer the following questions.
9. What is m 1?
a. 40
b. 50
c. 70
d. 90
10. What is m 3?
a. 40
b. 70
c. 90
d. 110
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Practice Geometry A Final version A
Refer to the figure below to answer the following questions. Identify the special name for each angle pair.
11. Given p q, m 10 = 3x – 7, and m 13 = 4x – 9, find the value of x.
a. 180
b. 2
c. 16
d. 28
12. Given p q and m 3 = 75, find m 5.
a. 15
b. 75
c. 105
d. 120
13. Given
, which postulate or theorem justifies that p q?
a. Corresponding Angles Postulate
b. Consecutive Interior Angles Theorem
c. Alternate Exterior Angles Theorem
d. Alternate Interior Angles Theorem
14.
9 and 13
a. alternate exterior
c. consecutive interior
b. alternate interior
d. corresponding
15. If m 4 = 7x – 20 and m 8 = 5x + 18, find the value of x so that p q.
a. 219
b. –1
c. 15
d. 19
16. Given
, which postulate or theorem justifies that p q?
a. Corresponding Angles Postulate
b. Consecutive Interior Angles Theorem
c. Alternate Exterior Angles Theorem
d. Alternate Interior Angles Theorem
17.
3 and 10
a. alternate exterior
c. consecutive interior
b. alternate interior
d. corresponding
18. If p q by the Consecutive Interior Angles Theorem, which angle pair must be supplementary?
a. 3 and 10
b. 3 and 8
c. 8 and 13
d. 15 and 16
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Practice Geometry A Final version A
Refer to the figure below to answer the following questions.
19. Which segment is skew to
a.
b.
c.
?
d.
20. Identify the plane parallel to plane PQT.
a. plane PQS
b. plane PTS
c. plane RSV
d. plane TUW
21. On a line, if XY = 6, YZ = 4, and XZ = 2, which point is between the other two?
a. X
b. Y
c. Z
d. cannot tell
Use the figure below to answer the following questions.
22. Which pair of angles are supplementary?
a. ABE, CBD
b. ABC, ABD
c.
ABC,
CBD
d.
ABC,
EBD
23. Find m ABC if m ABC = 4x + 9 and m EBD = 7x – 9.
a. 6
b. 33
c. 45
d. 73
24. Find m FBD if
a. 30
b. 45
FBD and DBE are complementary and m FBD is twice m DBE.
c. 60
d. 90
25. Which angle is a vertical angle to ABE?
a. DBE
b. CBD
c. ABC
d.
EBA
26. If m CBF = 6x + 18, find the value of x so that
a. 90
b. 45
c. 18
d. 12
27. What is the relationship between the lengths of
a. QS = RS
b. QS < RS
c. QS > RS
.
and
?
d. cannot tell
Determine the slope of the line that contains the given points.
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Practice Geometry A Final version A
28. M(–8, 14), N(2, –11)
a.
b.
c.
29. P(–6, 3), Q(12, 9)
a. –3
b.
d.
c.
d. 3
30. Which is an equation of the line with slope
a.
c.
y–7=
b.
(x + 4)
d.
y – 7 = –4x +
y–7=
(x – 4)
y+7=
(x + 4)
that contains (–4, 7)?
Refer to the figure below to answer the following questions.
31. Name a median.
a.
b.
c.
d.
32. Name an altitude.
a.
b.
c.
d.
33. Name an angle bisector.
a.
b.
c.
d.
34. Name a perpendicular bisector.
a.
b.
c.
d.
35. Quadrilateral MNQP is made of two congruent triangles.
m P = 100. What is the measure of M?
a. 25
b. 50
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c. 60
bisects
N and
P. In the quadrilateral, m N = 50 and
d. 105
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Practice Geometry A Final version A
36. What is the length of the sides of this equilateral triangle?
a. 42
b. 30
c. 15
d. 3
37. Find the coordinates of the midpoint of if L(8, 5) and B(–6, 2).
a. (1, 3.5)
b. (2, 7)
c. (7, 3.5)
d. (7, 1.5)
38. What is the distance from D to t, shown in the figure?
a. 2
b. 3
c. 5
39. Find the length of
a.
in.
b.
d.
.
in.
c.
in.
d.
in.
40. Choose the assumption you would make to start an indirect proof.
Given:
1 is an exterior angle of
ABC.
Prove: m 1 = m B + m C
a. 1 is not an exterior angle of
c. m 1 m B + m C
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ABC.
b.
1 is an interior angle of
ABC.
d. m 1 = m B
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Practice Geometry A Final version A
Refer to the figure to determine which is a true statement for the given information.
41.
42.
43.
is an angle bisector.
a. YWZ is a right angle.
c. XW = WZ
b.
XYW
d. XY = ZY
ZYW
a.
is a median.
YWZ is a right angle.
c. XW = WZ
b.
XYW
d. XY = ZY
ZYW
is an altitude.
YWZ is a right angle.
c. XW = WZ
b.
ZYW
a.
XYW
d. XY = ZY
44. Given A(–1, 4), B(1, 5), and C(–5, 3), which coordinate will make
a. D(–7, 4)
b. D(–6, 1)
c. D(4, –3)
d. D(–3, 4)
45. Name the longest side of
a.
b.
parallel to
?
ABC.
c.
d. cannot tell
46. Which triangles are congruent in the figure?
a.
c.
b.
d.
Use the figure below to answer the following questions.
47. What type of angle is ABC?
a. acute angle
b. obtuse angle
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c. right angle
d. straight angle
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Practice Geometry A Final version A
Use the figures below to answer the following questions.
48. If
a. 18
, and m ABC = 72, find m GFH.
c. 90
d. 108
b. 72
49. If m ABJ = 28,
a. 90
b. 62
, find m JBC.
d. 34
c. 45
50. What are the missing coordinates of the triangle?
a. (–2b, 0)
b. (0, 2b)
c. (–c, 0)
51. Name the angle with greatest measure in
a.
D
b.
E
c.
F
d. (0, –c)
DEF.
d. cannot tell
52. Mr. Perugia gives 4 points per question for q questions on English quizzes plus 5 points for a bonus question. Which
equation represents the total score, T, a student can receive on a quiz?
a. T + 5 = 4q
b. T = 4q + 5
c. T = 4(q + 5)
d. 4T = q + 5
53. How many planes can be drawn through any three noncollinear points?
a. 0
b. 1
c. 2
d. 3
54. If
a.
b.
, which segment in
c.
d.
EGS corresponds to
55. What is the relationship between the lengths of
a. DC < AD
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b. DC > AD
c. DC = AD
and
?
?
d. cannot tell
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Practice Geometry A Final version A
56. Find the possible values for m 1.
a. 90 > m 1 > 74
c. 0 < m 1 < 74
b. 180 > m 1 > 74
d. m 1 = 106
57. Find the distance between P(2, 8) and Q(5, 3).
a. 9
b.
c.
d. 34
58. Which is an equation of the line containing (1, –3) and (7, 15)?
a. y = –3x + 8
b. y = 3x
c. y = 3x – 6
d. y = 3x – 10
59. Tisha wants to plant a garden in the widest corner of her triangular backyard. The backyard is bordered by the back of
the house that is 50 feet long, fence A that is 27 feet long, and fence B that is 35 feet long. Which corner has the widest
measure?
a. corner between fences A and B
b. all three corners have the same measure
c. corner between the back of the house and fence A
d. corner between the back of the house and fence B
60. Find the value of y if B is between A and C, AB is 2y, BC is 6y, and AC is 48.
a. 384
b. 12
c. 6
d. 4
61. Choose the property that justifies the statement m A = m A.
a. Reflexive
b. Symmetric
c. Transitive
d. Substitution
62. Choose the property that justifies the statement If
a. Reflexive
b. Symmetric
c. Transitive
d. Definition of congruent segments
, then
.
63. Find the value of x.
a. 9
b. 11
c. 27
d. 32
64. Which best describes the statement If two planes intersect, then their intersection is a point?
a. always true
b. sometimes true
c. never true
d. cannot tell
65. Given A(2, 3), B(8, 7), and C(6, 1), which coordinate will make
a. D(3, 3)
b. D(4, 4)
c. D(8, 4)
d. D(9, 3)
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perpendicular to
?
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Practice Geometry A Final version A
66. What is the relationship between the measures of
a. m 1 = m 2
b. m 1 < m 2
1 and
c. m 1 > m 2
2?
d. cannot tell
67. Given A is between Y and Z and YA = 5.5, AZ = 2x, and YZ = 41.5, find AZ.
a. 5.5
b. 18
c. 36
d. 47
Use the proof to answer the following questions.
Given:
||
Prove:
Proof:
Statements
1.
2.
3.
4.
5.
6.
Reasons
1. Given
2. Alt. int. are .
3. Given
4. Reflexive Property
5. (
)
6. (
)
68. What is the reason for statement 5?
a. ASA
b. AAS
c. SAS
d. SSS
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Practice Geometry A Final version A
Answer Key
1. a
27. c
53. b
2. b
28. a
54. b
3. b
29. c
55. b
4. d
30. a
56. b
5. c
31. d
57. c
6. c
32. a
58. c
7. b
33. b
59. a
8. d
34. c
60. c
9. a
35. d
61. a
10. d
36. c
62. b
11. d
37. a
63. a
12. b
38. d
64. c
13. c
39. a
65. b
14. d
40. c
66. c
15. d
41. b
67. c
16. a
42. c
68. c
17. c
43. a
18. b
44. d
19. d
45. a
20. c
46. d
21. c
47. b
22. c
48. a
23. b
49. d
24. c
50. a
25. b
51. a
26. d
52. b
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