Geometry Review

1. Identify the next number in the pattern.

81

243

- 243

- 81

A

B

C

D

1, -3, 9, -27, …

2. Name 3 collinear

points.

M, N, P

F, E, D

N, A, C

F, G, P

A

B

C

D

F

A

B

D

E

GH

NM

P

C

3. Name a pair

of skewlines.

AB & ND

AB & DE

AB & FE

AB & FA

A

B

C

D

F

A

B

D

E

GH

NM

P

C

4. Name a pair

of parallellines.

AB & ND

AB & DE

AB & FE

AB & FA

A

B

C

D

F

A

B

D

E

GH

NM

P

C

5. Name a pair of

perpendicularlines.

AB & ND

AB & DE

AB & FE

AB & FA

A

B

C

D

F

A

B

D

E

GH

NM

P

C

6. Name the intersectionof GP and

FE.

CF

F

GE

PFE

A

B

C

D

F

A

B

D

E

GH

NM

P

C

7. Name the intersection

of plane BGA& plane ADC.

BA

BAD

A

AH

A

B

C

D

F

A

B

D

E

GH

NM

P

C

A

B D

C50

90

26

74

C 26

8. Find RS.

2450S TR

A

B D

C25 °

75 °

15 °

105 °D 105°

9. Find m DEF

10. If m ABC = 30°, find m DBC

40°

110°

50°

60°

A

B

C

D

D

B

C

A 80°

11. M is the midpoint of PQ and N is the midpoint of MQ. If PQ = 30, find NQ.

6.5

10

15

7.5

A

B

C

D

P M N Q

12. Find x.

20°

A

B

C

D

(5x + 20)°60°

100° 120°

60°

13. Find x.

20°

A

B

C

D

(3x + 25)°100°

100° 25°

41.7°

14. If m A = 40°, find its complement.

40°A

B

C

D80° 50°

140°

15. If m A = 60°, find its supplement.

120°A

B

C

D30° 300°

60°

16. If 1 and 2 are a linear pair

and m 2 = 40°, find m 1.

90°A

B

C

D140° 50°

180°

17. If 1 and 2 are vertical angles

and m 2 = 40°, find m 1.

40°A

B

C

D140° 50°

130°

18. If 1 and 2 are both complementary to 3

and m 2 = 40°, find m 1.

40°A

B

C

D140° 50°

10°

19. If 1 and 2 are both supplementary to 3

and m 2 = 50°, find m 1.

40°A

B

C

D130° 80°

50°

40°A

B

C

D90° 80°

50°

20. If AB intersects DC at point P

and AB DC, find m APC.

21. Find the coordinates of the midpoint of a segment with endpoints (-2, -3) and

(-6, 4).

(-4, 0.5)A

B

C

D(4, 0.5) (-4, -3.5)

(-8, 1)

40°

110°

50°

80°

A

B

C

D

D

B

C

A 80°

22. BC bisects ABD, find m DBC

23. In the figure, AED and BEC are…

supplementary

complementary

vertical s

a linear pair

A

B

C

D

AE

B

CD

24. Find x.

A

B

C

D

x°

100°

80°

100°

120°

70°

25. Find x.

A

B

C

D

x°

120°

60°

120°

100°

30°

26. Find x.

A

B

C

D

(3x)°

(2x + 80)°

60°

120°

180°

20°

27. Identify the transformation.

translation

reflection

dilation

rotation

A

B

C

D

28. Identify the transformation.

translation

reflection

dilation

rotation

A

B

C

D

29. Identify the transformation.

translation

reflection

dilation

rotation

A

B

C

D

30. A translation is described by

(x,y)(x-2,y+3). If A is (5,6), find A’

(3,9)

(7, 3)

(4, 2)

(-5, -6)

A

B

C

D

70A

B

C

D

31. Find x.140°

x°

20

40

180

100A

B

C

D

32. Find x.

140

40

180

x°40°

120A

B

C

D

33. Find x.x°

120°

20

50

60

60A

B

C

D

34. Find x.2x°

30

40

20

10A

B

C

D

35. Find x.

20

40°

5

20

140

40°

2x + 10

17A

B

C

D

36. Find x.

15

13

11

5 x

12

18A

B

C

D

37. Find x.

24

25

28

10 26

x

10A

B

C

D

38. Find the distance between (7,5) and (3,2).

5

7.9

2.6

BCA

B

C

D

39. Identify the longest length.

57°

AC

AB

can’t tell

55°

68°

A

B C

acute Δ A

B

C

D

40. Classify the triangle with side lengths 5, 13, 14.

right Δ

obtuse Δ

straight Δ

acute Δ A

B

C

D

41. Classify the triangle with side lengths 6, 8, 10.

right Δ

obtuse Δ

straight Δ

acute Δ A

B

C

D

42. Classify the triangle with side lengths 7, 10, 11.

right Δ

obtuse Δ

straight Δ

ASAA

B

C

D

43. What can be used to prove the triangles are congruent?

SAS

AAS

SSS

ASAA

B

C

D

44. What can be used to prove the triangles are congruent?

SAS

AAS

SSS

B Y

A

B

C

D

45. If ΔABC ΔXYZ, then which of the following is

NOT necessarily true?

AB = XY

Z C

CB = XZ

75A

B

C

D

46. The figure is a parallelogram.Find x.

75°

95

85

105

x°

75A

B

C

D

47. The figure is a parallelogram.Find x.

80°

80

85

100

x°

50A

B

C

D

48. The figure is a parallelogram.BD = 50Find ED.

25

40

30

AB

C DE

90A

B

C

D

49. The figure is a square.Find x.

50

45

can’t tell

x°

60A

B

C

D

50. The figure is a rectangle.Find x. 30°

30

150

75

x°

60A

B

C

D

51. The figure is a rectangle.Find x. 30°

30

120

150

x°

60A

B

C

D

52. The figure is a rhombus.Find x.

90

80

70

x°

50A

B

C

D

53. The figure is a rhombus.Find x.

40°

30

60

40

x°

16A

B

C

D

54. Find x.

15

14

12

10

18

x

10A

B

C

D

55. The figure is a kite. Find x.

5

20

40

20

x 40

70A

B

C

D

56. The figure is a kite. Find x.

50

120

60

50°x°120°

100A

B

C

D

57. The figure is a trapezoid. Find x. x°

80°

80

140

120

60°

14.25A

B

C

D

58. The two triangles are similar. Find x.

20

x

12

13

13.5

18

15

10.7A

B

C

D

59. Find x.

10

11

11.4

15

8 x

20

10A

B

C

D

60.Find x.

12

16

14

8

x

A

B

C

D

8 : 3

3: 8

61. What is the scale factor?

3 : 5

5 : 3

3 to 8A

B

C

D

62. What is the scale factor?

1 to 4

1 to 6

2 to 3

6 4

2416

3 : 5A

B

C

D

63. The scale factor of ΔABC to ΔXYZ is 3:5. What is the

ratio of the perimeter of ΔABC to ΔXYZ?

6 : 10

9 : 25

27 : 125

3 : 5A

B

C

D

64. The scale factor of ΔABC to ΔXYZ is 3:5. What is the ratio of the area of ΔABC to

the area of ΔXYZ?

6 : 10

9 : 25

27 : 125

65. What is the sum of the measures of the interior

angles of a 12-gon?

A

B

C

D

1800° 2160°

150° 180°

66. What is the measure of one interior angle in a

regular decagon?

A

B

C

D

1800° 1440°

180° 144°

67. What is the sum of the measures of the exterior

angles of a nonagon?

A

B

C

D

1080° 720°

120° 360°

68. Find x.

A

B

C

D63

21

115

141

89˚

92˚ 116˚

3x˚

69. Find the area.

A

B

C

D36 ft2

18 ft2

7 ft

538 ft2

77 ft2

11 ft

70. Find the area.

A

B

C

D49 ft2

35 ft2

7 ft

17.5 ft2

20.6 ft2

5 ft

71. Find the area.

A

B

C

D41.7 ft2

70.35 ft2

7 ft

35 ft2

33.5 ft2

3 ft

7 ft

6.7 ft

72. Find the area.

A

B

C

D60.5 ft2

125 ft2

64.5 ft2

129 ft2

5 ft

4.3 ft

73. Find the area.

A

B

C

D78.5 ft2

43.98 ft2

15.7 ft2

31.4 ft2

5 ft

A

B D

C175 m2

135 m2

147 m2

174 m2D 174 m2

74. SA=?

A

B D

C175 m3

135 m3

147 m3

174 m3B 135 m3

75. V=?

A

B D

C392 in2

391 cm2

385 in2

358 in2B 391 in2

76. SA=?

A

B D

C392 in3

391 in3

385 in3

358 in3

C 385 in3

77.V=?

A

B D

C682.1 in2

316 in2

1006 in2

628.7 in2 D 628.7 in2

78.SA=?

A

B D

C682 in3

240 in3

1005.5 in3

3016.5 in3

C 1005.5 in3

79. V=?

80. Find x

12

A

B

C

D

6

45°

x

6

6 2

6 3

81. Find x

12

A

B

C

D

10

45°

10

x

6 3

2

10 2

82. Find x

12

A

B

C

D

6

60°

x

6

6 2

6 3

83. Find x

6

A

B

C

D

3

60°

6

x

6 2

6 3

84. Find x

12

A

B

C

D

6

60°

x

6

6 2

6 3

85. Find x

10

A

B

C

D

20

60°x

6 2

6 3

10 3

10

10

86. Find x

10

A

B

C

D

20

60°

x

6 3

10 3

5

10

87. Find x

3

A

B

C

D

6

60°x 6

6 312

36 36 3

88. Find sin A

12 : 13

A

B

C

D

5 : 12

5 : 13

12 : 5

89. Find cos A

12 : 13

A

B

C

D

5 : 12

5 : 13

12 : 5

90. Find tan A

12 : 13

A

B

C

D

5 : 12

5 : 13

12 : 5

91. Find x

18.0

3.3

11.3

A

B

C

D

19.7

92. Find x

9.8

12.5

11.9

A

B

C

D

13.9

93. Find x

5.7

12.5

7.0

A

B

C

D

8.2

x35°

10

94. Find mA

45.6°A

B

C

D

7 A

10

36.4° 35.0°

44.4°

95. Find m A

45.6°A

B

C

D

7 A

54.5° 35.5°

44.4°

5

45.6°A

B

C

D

7

A

54.5° 35.5°

44.4°

5

96. Find m A

A

B

C

D

82°

sin A = 0.9903

8° 14°

100°

97. Find m A

A

B

C

D

0.7002

0.8836 0.8192

0.5736

98. Find tan 35°

A

B D

Cchord

diameter

tangent

secantD secant

99. Identify

BC

A

B D

Cchord

diameter

tangent

secant

C tangent

100. Identify

ED

A

B D

Cchord

radius

tangent

secant

A chord

101.Identify

BE

A

B D

Cchord

diameter

tangent

secantB diameter

102.Identify

BC

A

B D

Cchord

diameter

radius

secant

C radius

103.Identify

AE

A

B D

Cchord

central

inscribed

secant

C inscribed

104.Identify

EBC

A

B D

Cchord

central

inscribed

secantB central

105.

Identify EAB

A

B D

Cof tangency

on the circle

of center

of secant

A of tangency

106. E is the point …

A

B D

Cof tangency

on the circle

of center

of secant

C of center

107. A is the point …

A

B D

C17

15

14

20D 20

108. Find x

A

B D

C70°

30°

100°

15°B 30°

109.FindmTQU

A

B D

C70°

30°

100°

15°

C 100°

110. Find mSU

A

B D

C70°

30°

100°

15°

A 70°

111. FindmST

A

B D

C 66

132

33

198B 132

112. Find x

A

B 180 ° D 28 °

C 90 ° 62 ° C 90°

113.Find x.

A

B 180 ° D 28 °

C 90 ° 62 °

D 28°

114.Find y.

A

B D

C 52 °

26 °

104 °

308 °B 26 °

115.Find x

A

B D

C 83

97

88

92B 97

116.Find x. 92°

83°

A

B D

C 83

97

88

92

C 88

117.Find y. 92°

83°

118.Find x

60°A

B

C

D50° 110°

55°

60° 50°

6A

B

C

D1.9 5

1

119. Find x

(0,0)A

B

C

D(5,5) 5

25

120. What is the radius of the circle?

x2 + y2 = 25

(0,0)A

B

C

D(5,5) 5

25

121.What is the center of the circle?

x2 + y2 = 25

(-3,2)A

B

C

D(3,-2) 2

4

122.What is the center of the circle?

(x-3)2 + (y+2)2 = 4

(-3,2)A

B

C

D(3,-2) 2

4

123. What is the radius of the circle?

(x-3)2 + (y+2)2 = 4

(0,0)A

B

C

D6.3 40

20

124. What is the radius of the circle?

x2 + y2 = 40

noA

B

C

D

yes, 45°

125. Does the figure have rotational symmetry?

yes, 40° yes, 90°

Great Job!