Geometry Semester One Exam

4. Find the coordinates of the endpoints of the mid-segment parallel to line AB a.(4,2) (3,4) b.(3,4) (5,5) c.(3,4) (4,7) d.(4,2) (4,7) e.(4,2) (5,5)

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Find the coordinates of the other enpoint of a segment iwth an endpoint of X (13,5) and midpoint M(8,3) a. (18,7) b. (18,1) c. (3,7) d. (3,1) e. (-29,-11)

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1. Solve for x in the diagram a. 2 b. 4 c. 8 d. 16 e. 1

A

24. The point of concurrency of the three angle bisectors of a right triangle is ____ the triangle. a. always inside b. always outside c. always on d. sometimes inside e. sometimes on

A

31. In the diagram... Find WX a. 5 b. 10 c. 15 d. 4 e. 8

A

33. A triangle has an area of 72 square feet and a height of 9 feet. Find its base. a. 16 ft b. 8 ft c. 32 ft d. 9 ft e. 34 ft

A

43. What is the converse of "If you are hungry, then you did not eat lunch?" a. If you did not eat lunch, then you are hungry b. If you ate lunch, then you are not hungry c. If you are not hungry then you ate lunch. d. You are hungry if and only if you did not eat lunch e. none

A

50. ... a. 14 b. 28 c. 56 d. 62 e.152

A

75. Point H is between G and I. Use the sepgment addition postulate to solve for x when GH =8x+7, HI=3x-2 and GI=38 a. 3 b. 5 c. 7 d. 31 e.39

A

80. An angle measuring 35 would be an ____? a. acute angle b. obtuse angle c. right angle d. straight angle e. adjacent angle

A

88. Which theorem or postulate shows j ll k? a. alt. int. angles b. cons. int. angles c. alt. ext. angles d. corresp. angles e. none of these

A

89.

A

91. Which is the shortest side? a. AC b. AB c. BC d. A or C e. Cannot be determined

A

12. What is the third congruence needed to proved that ^ABC=^CBD by AAS? a. b. c. d. e.

B

2. Solve for y in the diagram a. 20 b.45 c. 51 d. 78 e. 102

B

20. Find the slope of the line that passes through (5,2) and (8,-1) a. 1 b.-1 c.-1/3 d.1/3 e.2

B

21. Which equation of the line has a slope of 5 and passes through point (-2,1) a. y=5x-11 b. y=5x-2 c. y=5x-9 d. y=5x+11 e. y=11x+5

B

30. Find the value of x a. 13.3 b. 7 c. 14 d. 26 e. 25

B

34. What is the inverse of "If water is ice, then the water's temperature is 32 degrees F?" a. If water's temperature is 32 F, then it is ice. b. If water is not ice, then its temperature is not 32 F. c. If water's temperature is not 32 F, then water is not ice. d. Water is ice if and only if its temperature is 32 F. e. None

B

35. Find the circumference of the circle a. 18.84 ft b. 37.68 ft c. 113.04 ft d. 37.68 ft^2 e. 113. 04 ft^2

B

40. Two angles are complementary. One angle has a measure that is twice the other angle. What is the measure of the smaller angle? a. 15 b. 30 c. 45 d. 60 e. 75

B

46. What is the value of x? a. 30 b. 60 c. 90 d. 100 e. Cannot be determined

B

56. What is the next number in the sequence? 2, -1, -4, -7... a. -9 b. -10 c. 10 d. -11 e.-12

B

59. Name a point that lies on line c. a. M b. P c. Z d. Q e. O

B

61. Name three noncollinear points. a. P Y Q b. M N P c. M N Z d. Q R O e. X N P

B

63. Which angles are alternate exterior angles? a. 2 and 8 b. 2 and 7 c. 3 and 8 d. A and B e. A and C

B

66. Find the measure of angles 1 a. 40 b. 70 c. 80 d. 140 e. Cannot be determined

B

7. What value of x would make lines w and v parallel? a. 30 b.20 c.60 d.40 e.50

B

70. a. b. c. d. e.

B

71. If the m<6=115, then m<3=___ a.65 b. 115 c. 180 d. 90 e. Cannot be determined

B

72. Which is the slope of a line perpendicular to the line y=-2x+6? a. 2 b. 1/2 c. -1/2 d. -6 e.-1/6

B

74. Find the length of AC if AB is 6, BC is 10, and B is between A and C a. 4 b. 16 c. -4 d. 60 e.6

B

9. In the diagram, P is the circumcenter of ^ABC. Find the value of x. a.1 b.3 c.9 d.15 e.21

B

96. Find the length of NO a. 5 b. 10 c. 15 d. 20 e.25

B

Find the midpoint of a segment with endpoints (-7,3) and (3,-3) a. (-2,-3) b. (-2,0) c. (-5,0) d. (2,0) e. (-5,-3)

B

Which postulate or theorem would prove x ll y? a. Consecutive Interior Angles Converse b. Corresponding Angles Converse c. Alternate Interior Angles Converse d. Alternate Exterior Angles Converse e. Cannot prove it

B

Which postulate or theorem would prove x ll y? a.Consecutive Interior Angles Converse b.Corresponding Angles Converse c.Alternate Interior Angles Converse d.Alternate Exterior Angles Converse e.Cannot prove

B

77.

B- addition property

15. Which of the following is not true when a ll b? a. b. c. d. e.

C

18. The triangle below can be classified as ____? a.acute isosceles b.acute scalene c.obtuse isosceles d.obtuse scalene e.right scalene

C

22. Which equation of the line has a y-intercept of 6 and is parallel to y= -1/2x+2? a. b. c. d. e.

C

25. In the diagram.... a. 1 b.2 c.3 d.4 e.5

C

29. What is the measure of angle one? a. 45 b. 90 c. 55 d. 145 e. 155

C

32. A square with an area of 64 square inches has a perimeter of ____? a. 64 in b. 16 in c. 32 in d. 128 in e. cannot be determined

C

37. Find the area of a triangle with a base of 8 m and a height of 4 m. a. 19 m b. 32 m^2 c. 16 m^2 d. 16 m e. 12 m^2

C

39. What is the value of x? a. 3 b. 5 c. 7 d. 9 e. 11

C

41. Find the value of y. a. 10 b. 28 c. 20 d. 152 e. 128

C

42. Find the perimeter of the figure. a. 7 b. 8 c. 14 d. 16 e. 30

C

5. Which lines are perpendicular?

C

51. .... a. 26 b. 52 c. 104 d. 13 e. 38

C

53. In rectangle ABCD, a diagonal is drawn from B to D. Which statement is not true. a. b. c. d. e.

C

54. Use the diagram below. Which congruence is needed to prove ^XYZ=^JKL a. b. c. d. e.

C

57. What is the next number in the sequence? 0, 2, 6, 12, a. 18 b. 24 c. 20 d. 22 e. 26

C

65. What type of angles are 4 and 5? a. Corresponding angles b. Alternate exterior angles c. Alternate interior angles d. Consecutive interior angles e. Consecutive exterior angles

C

69. a. b. c. d. e.

C

81. Find m < WYZ a. 5 b. 90 c. 85 d. 105 e.175

C

85. The first three objects in a pattern are shown. How many blocks are in the next object? a. 20 b. 25 c. 30 d. 36 e.40

C

90. Use the diagram below to determine which statement is true

C

97. Find the length of NP a. 5 b. 10 c. 15 d. 20 e.25

C

76. -

C- Division property

11. In the diagram.... Find the length of line CE a. 11 b.22 c.10 d.16 e.5

D

13. What is the third congruence needed to prove that ^MNQ=^PNO by ASA? a. b. c. d. e.

D

14. Which postulate or theorem would prove a ll b? a.Consecutive Interior Angles Converse b.Corresponding Angles Converse c.Alternate Interior Angles Converse d.Alternate Exterior Angles Converse e.Cannot prove

D

17. The triangle below can be classified as_____? a. acute isosceles b.acute scalene c.obtuse isosceles d.obtuse scalene e.right scalene

D

19. A triangle has two sides that have lengths of 8 cm and 14 cm. Which length below could not represent the length of the third side? a.7 cm b.13 cm c.18 cm d.22 cm e.15 cm

D

26. An isosceles has a perimeter of 82 cm. The lengths of the legs of the triangle are represented by (3x+2) and (5x-14). Find the length of the base of the triangle. a. 8cm b. 16cm c. 26cm d. 30cm e. 52cm

D

27. Find the measure of angle BCD. a. 50 b. 120 c. 60 d. 160 e. 20

D

3. In the diagram, C....... Find CX a.3 b.6 c.9 d. 8 e. 12

D

36. Find the area of a square with a side of 7 inches. a. 14 in b. 28 in^2 c. 49 in d. 49 in^2 e. 28 in

D

47. In the diagram..... What is the measure of angle H? a. 35 b. 65 c. 70 d. 80 e. Cannot be determined

D

49. Find the value of x a. 25 b. 50 c. 90 d. 65 e. 155

D

64. Which angles are consecutive interior angles? a. 3 and 5 b. 4 and 6 c. 3 and 7 d. A and B e. A and C

D

78. Solve for x and y a. x=120 y=60 b. x=60 y=60 c. x=30 y=120 d. x=120 y=30 e. x=60 y=120

D

79. Use points A(5,1), B(5,6), C (1,4) and D(4,-2) to determine which of the following is true a. b. c. d. e.

D

82. Which angles are a linear pair? a. 1 and 2 b. 2 and 3 c. 1 and 4 d. 4 and 5 e. 3 and 5

D

83. Which angles are vertical angles? a. 1 and 2 b. 1 and 5 c. 3 and 5 d. 1 and 4 e. 4 and 5

D

84. Which angles are supplementary? a. 1 and 4 b. 4 and 5 c. 1 and 5 d. B and C e. all of these

D

86. What does the symbol BC represent? a. segment b. line c. point d. ray e. ray

D

92. List the sides in order from longest to shortest. a. GF, EF, EG b. EG, GE, EF c. EF, EG, GF d. EF, GF, EG e. EG, EF, GF

D

94. Which theorem or postulate shows j ll k? a. Alt. Int. angles b. Cons. Int. angles c. Alt. Ext. angles d. Corresp. angles e. None

D

95. Find the length of OQ a. 5 b. 10 c. 15 d. 20 e.25

D

44. What is the contrapositive of "If x=3, then 5x-2=13?

D- If 5x-2 doesn't equal 13, then x doesn't equal 3.

10. In the diagram, ........ Find the length of line XZ. a. 11 b.2 c.15 d.4 e.26

E

23. Given that.... which statement about the diagram is not true? a. b. c. d. e.

E

38. Find the area of a circle with a radius of 9 meters. a. 28.26 m^2 b. 28.26 m c. 56.52 m^2 d. 56.52 m e. 254.34 m^2

E

45. What are the values of x and y? a. x=72.5 y=72.5 b. x=35 y=35 c. x=35 y=110 d. x=55 y=55 e. x=110 y=35

E

48. Given.... find the value of x a. 43 b. 40 c. 82 d. 58 e. 29

E

52.... a.2 b. 56 c. 5 d. 28 e. 6

E

55. A triangle with three acute angles and no congruent sides is_____. a. an equiangular triangle b. a right triangle c. an isosceles triangle d. an obtuse triangle e. an acute scalene triangle

E

58. Name all points that are collinear to points N and Z a. P b. O c. M d. P and X e. O and M

E

60. Name all points that are collinear to points P and Q a. M b. N c. Y d. X e. M and Y

E

62. Which angles are corresponding angles? a. 1 and 5 b. 4 and 6 c. 2 and 6 d. A and B e. A and C

E

67. Find the measure of angle 1 a. 50 b. 90 c. 60 d. 30 e. 85

E

68.... a. b. c. d. e.

E

73. Which equation of a line is perpendicular to y =-2/5x-1/3 a. b. c. d. e.

E

8. In the diagram..... What is the value of x?

E

87. Complete the following to make a true statement . "In a plane, if two lines are _____ to the same line, then they are _____to each other. a. Perpendicular, parallel b. perpendicular perpendicular c. parallel, parallel d. parallel, perpendicular e. A and C

E

93. Use the diagram below. Which additional congruence is needed to prove ^ABC=^DEF a. b. c. d. e.

E

28. Two angles are supplementary. One angles has a measure that is five less than four times the other. What is the measure of the larger angle? a. 19 b. 71 c. 143 d. 148 e. 153

C or D