Name: ________________________

1

Accelerated Geometry Summer Assignment

1. The distance between points A and B is _______.

a. 13

b. 11

c. 85

d. 85

2. Find the midpoint of the segment with endpoints

(9, 8) and (3, 5).

a. (3, 3

2)

b. (12, 13)

c. (6, 13

2)

d. (1, –2)

3. The nonshared sides of two adjacent angles form a pair of opposite rays. The angles are _________.

a. acute

b. complementary

c. a linear pair

d. vertical angles

4. Which one of the statements below is false?

a. A circle is NOT a polygon.

b. An octagon has 8 angles.

c. A decagon has 10 sides.

d. A pentagon has 9 angles.

5. Which angle measures approximately 72°?

a.

b.

c.

d.

6. If m∠IOJ = 22° and m∠HOI = 25°, then what is the

measure of ∠HOJ ?

a. 45°

b. 44°

c. 52°

d. 47°

2

7. Which is not a possible value for y in the figure

below?

a. 70

b. 115

c. 55

d. 160

8. Which figure below is not a regular polygon?

a.

b.

c.

d.

9. A wooden fence is to be built around a 50 m-by-62

m lot. How many meters of fencing will be needed? If the wood for the fence costs $47.75 per meter,

what will the wood for the fence cost?a. 3100 m, $148,025.00

b. 3100 m, $10,696.00

c. 224 m, $10,696.00

d. 224 m, $148,025.00

Use the formula for the area of a triangle

(A =1

2bh) to find the value of the unknown

variable.

10. Henry wants to use 48 feet of fencing to enclose part of his yard for a garden. Which of the figures described would use all 48 feet of fencing and enclose the largest area of Henry's yard?

a. A rectangle with a length of 14 feet and a width of 10 feet

b. A rectangle with a length of 16 feet and a width of 8 feet

c. A square with a side length of 12 feet

d. A circle with a radius of about 7.6 feet

11. In the figure shown, m∠AED = 124°. Which of the

following statements is false?

a. ∠BEC and ∠CED are adjacent angles.

b. ∠AEB and ∠DEC are supplementary angles.

c. m∠AEB = 56°

d. m∠BEC = 124°

3

12. Solve for x.

a. 3

b. 6

c. 1

d. 2

13. Give the reason for the last statement in the proof.

Statement Reason

∠1 and ∠2 are verticalangles. Given

∠1 ≅ ∠2 ?

a. Vertical Angles Congruence Theorem

b. Congruent Complements Theorem

c. Congruent Supplements Theorem

d. Linear Pair Postulate

14. In the figure, ∠1

and ∠2 are _________.

a. alternate exterior angles

b. alternate interior angles

c. consecutive interior angles

d. corresponding angles

15. In the figure, ∠6 and ∠2 are _____________.

a. alternate interior angles

b. consecutive interior angles

c. alternate exterior angles

d. corresponding angles

16. Find m∠1 in the figure below. PQ→←

and RS→←

are

parallel.

a. 105°

b. 75°

c. 115°

d. 15°

17. Which best describes the relationship between the

line that passes through (7, 1) and (10, 5) and the

line that passes through (–8, 5) and (–5, 9)?

a. same line

b. perpendicular

c. neither perpendicular nor parallel

d. parallel

4

18. In the figure, l Ä n and r is a transversal. Which of

the following is not necessarily true?

a. ∠8 ≅ ∠2b. ∠2 ≅ ∠6c. ∠5 ≅ ∠3d. ∠7 ≅ ∠4

19. In the figure shown, HC→←

Ä GD→←

and m∠ABC =

100°. Which of the following statements is false?

a. m∠CBE = 80°

b. m∠DEF = 80°

c. ∠DEB and ∠CBE are corresponding angles.

d. ∠CBE and ∠GEB are alternate interior angles.

20. Which best describes the relationship between the lines with equations

−5x − 8y = 4 and − 30x − 48y = 24?

a. neither parallel nor perpendicular

b. same line

c. parallel

d. perpendicular

21. Line m is parallel to line n and they are each

intersected by the same two transversals. Which angle is NOT necessarily congruent to ∠4?

a. ∠12b. ∠16c. ∠7d. ∠15

22. What is the slope of the line that passes through points A (-2,-3) and B (5,3)?

a.6

7

b.7

6

c. −6

7

d. 0

23. Which best describes the relationship between Line

1 and Line 2?

Line 1 passes through −3, 6ÊËÁÁ

ˆ¯̃̃ and −7, 11Ê

ËÁÁˆ¯̃̃

Line 2 passes through 1, 8ÊËÁÁ

ˆ¯̃̃ and −4, 4Ê

ËÁÁˆ¯̃̃

a. perpendicular

b. They are the same line.

c. parallel

d. neither perpendicular nor parallel

24. A line L1 has slope 4

9. The line that passes through

which of the following pairs of points is parallel to L1 ?

a. (6, –3) and (2, 6)

b. (12, –1) and (2, 8)

c. (–5, 2) and (6, 6)

d. (–3, 2) and (6, 6)

5

25. Which graph below would match the situation

described?A car is traveling at 44 mph slows to 21 mph in the first 5 seconds. It maintains that speed for the next 5 seconds, and then slows to a stop in the next five seconds.

a.

b.

c.

d.

26. Write an equation that is parallel to y =2

3x − 7.

a. y = −3

2x + 7

b. y =2

3x + 1

c. y =3

2x + 2

d. y = −2

3x − 7

27. Write an equation that is perpendicular to

y = −4x + 2.

a. y = 4x + 2

b. y = −4x − 2

c. y =1

4x + 1

d. y = −1

4x + 1

28. Write an equation in slope-intercept form of the graph shown.

a. y = −11

5x − 7

b. y = 5

11x − 7

c. y = 11

5x − 7

d. y = −5

11x − 7

6

29. Name a right triangle.

a. ∆BDC

b. none of these

c. ∆ADB

d. ∆ABC

30. A triangle has angle measures of 60°, 60°, and 60°. Choose the term that describes the triangle.

a. Equiangular

b. Right

c. Obtuse

d. Scalene

31. How many obtuse angles can an isosceles triangle have?

a. 2

b. 3

c. 0

d. 1

32. Find the value of x:

a. 127°

b. 35°

c. 88°

d. 145°

33. Find the value of x.

a. 117

b. 297

c. 66

d. 51

34. Find the value of x.

a. 14°

b. 166°

c. 104°

d. 28°

35. Use the figure below to solve for x.

a. 55b. 90c. 145d. 45

7

36. Refer to the figure below. m∠C = .

a. 100°

b. 17°

c. 148°

d. 15°

37. The measure of ∠B is .

a. 99°

b. 89°

c. 79°

d. 101°

38. Which pair of lengths can be two of the sides of an

isosceles triangle which has a perimeter of 52

inches?

a. 15 inches, 25 inches

b. 15 inches, 22 inches

c. 12 inches, 22 inches

d. 16 inches, 21 inches

39. What is the value of z? (The figure may not be

drawn to scale.)

a. z = 56b. z = 25c. z = 64d. z = 31

40. The two triangle-shaped gardens are congruent. Find the missing side lengths and angle measures.

a. a = 5 ft; b = 28°; c = 90°; d = 62°; e = 5 ft

b. a = 5 ft; b = 28°; c = 62°; d = 90°; e = 5 ft

c. a = 9.5 ft; b = 28°; c = 90°; d = 62°; e = 10.7 ft

d. a = 5 ft; b = 28°; c = 90°; d = 62°; e = 10.7 ft

8

41. If ∆ABC ≅ ∆DEF, AB = 10 feet, m∠B = 27°, and

m∠F = 14°, which of the following statements is false?

a. AC = DF

b. ∠C ≅ ∠F

c. m∠E = 139°

d. AB = DE

42. In the diagram, ∠B ≅ ∠E and ∠C ≅ ∠F. Find the value of x.

a. x = 50b. x = 25c. x = 75d. x = 35

43. If ∆MNO ≅ ∆VWX, which statement is NOT true?

a. NO ≅ VW

b. ∠O ≅ ∠X

c. MO ≅ VX

d. ∠N ≅ ∠W

44. Given:∠B ≅ ∠E and ∠C ≅ ∠F. What other piece of information is needed to show ∆ABC ≅ ∆DEF by ASA Congruence Postulate?

a. EF ≅ FE

b. BC ≅ EF

c. ∠A ≅ ∠D

d. ∠B = ∠F

45. In ∆ABC, if AB ≅ BC and m∠A = 39°, then m∠C = .a. 102°

b. 39°

c. m∠B

d. 141°

46. Identify the coordinates of the image point formed

after (–1, 3) is reflected over the x-axis.

a. (–1, 3)

b. (1, 3)

c. (1, –3)

d. (–1, –3)

47. What is the measure of each base angle of an

isosceles triangle if its vertex angle measures 40

degrees and its 2 congruent sides measure 25 units?

a. 70°

b. 140°

c. 50°

d. 40°

48. In ∆ABC, AB = 3x – 2, BC = x + 4, and AC = 7.

Also AB ≅ BC . Which term does NOT describe

∆ABC?

a. Equilateral

b. Acute

c. Isosceles

d. Obtuse

49. Given: ∆ABC ≅ ∆DEF with AB ≅ BC . Which statement of congruence is not provable?a. ∆ABC ≅ ∆CBA

b. ∆DEF ≅ ∆CBA

c. ∆ABC ≅ ∆FDE

d. ∆ABC ≅ ∆FED

9

50. Given m∠NOP = m∠NPO; NO = 2n + 4;

NP = 8n − 3; OP = 9; find NO.

a. NO = 3

b. NO = 19

3

c. NO = 7

6

d. NO = 22

51. What is the translation image of (–3, –6) after the

translation x, yÊËÁÁ

ˆ¯̃̃ → (x+ 4, y+ 3)?

a. (–7, –9)

b. (1, –9)

c. (–7, –3)

d. (1, –3)

52. Refer to the figure below. Which of the following statements is true?

HLK is isosceles with base HK , ∠IHL and ∠JKL are right angles, IK ≅ JH

a. ∆HIL ≅ ∆KJL by HL c. ∆HKI ≅ ∆HJK by SAS

b. ∆HLK ≅ ∆JLK by SSS d. There are no congruent triangles.

53. Refer to the figure shown. Which of the following statements is true?

a. ∆TUV ≅ ∆XWV by ASA c. ∆TUV ≅ ∆WXV by SAS

b. ∆TUV ≅ ∆VWX by SAS d. ∆TUV ≅ ∆WXV by SSS

10

54. Identify the coordinates of the point (–5, –3) after a

rotation of 180° clockwise about the origin.

a. (–5, 3)

b. (5, 3)

c. (–3, –5)

d. (5, –3)

55. Which graph represents a reflection in the x-axis?

a.

b.

c.

d.

56. A person facing east walks east 20 paces, turns,

walks north 10 paces, turns, walks west 25 paces, turns, walks south 10 paces, turns, walks east 15 paces, and then stops. What one transformation could have produced the same final result in terms of the position of the person and the direction the person faces?

a. reflection over the north-south axis

b. rotation

c. translation

d. reflection over the east-west axis

57. A right triangle is placed in a convenient position in the first quadrant of a coordinate plane. Which is the missing label for the vertex?

a. v,0ÊËÁÁ

ˆ¯̃̃

b. (0,u)

c. (0,v)

d. u,vÊËÁÁ

ˆ¯̃̃

58. For the triangle shown, VS = 5 and VQ = 6. Then PQ = ______.

a. 11

b. 12

c. 10

d. 5

11

59. Solve for x given BD = 5

2x + 4 and AE = 6x + 4.

Assume B is the midpoint of AC and D is the

midpoint of CE.

a. −1

2

b. 4c. 2

d. −1

4

60. Given: BC→←

is the perpendicular bisector of KM . Which statement is true?

a. ∠BLM, ∠MLC , ∠CLK, ∠KLB

are all right angles.

b. CM = BM

c. ∠KBM is a right angle.

d. C is the midpoint of KM

61. OE→

bisects ∠BOA, EA ⊥ OA, and EB ⊥ OB. Which statement is NOT true?

a. AE ≅ BE

b. ∠AOE ≅ ∠EAO

c. OA ≅ OB

d. ∠AEO ≅ ∠BEO

62. If a

b=

c

d, then ______.

a.a + b

b=

c + b

d

b. ac = bd

c.a + b

b=

c + d

d

d.a

b=

a + c

b + d

63. A map has a scale of 1

2inch : 28 miles. If the

actual distance between the two cities is 448 miles, how far apart are they on the map?

a. 16 inches

b. 32 inches

c. 8 inches

d. 4 inches

12

64. The Community Recreation Center is developing

plans for a new sports facility. Community members can submit suggestions for the new facility, along with basic scale drawings of their

ideas. Rachel wants to include a new 11- by

24-meter tennis court in the athletic center. She is

submitting a scale drawing on an 8.5- by 11-inch sheet of paper. Which scale should Rachel use to

create as large a drawing as possible on the paper?

a.3

8in. = 1 m

b.3

4in. = 1 m

c.1

8in. = 1 m

d.7

16in. = 1 m

65. Are the two polygons similar? (They are not drawn to scale, but assume all angles are 90°.) If not, explain why.

a. Yes

b. No; 5

25≠

6

10

c. not enough information to tell

d. No; 5

25≠

8

41

66. If two polygons are SIMILAR, then the corresponding angles must be _____.

a. complementary

b. supplementary

c. congruent

d. linear pairs

67. If two polygons are SIMILAR, then the

corresponding sides must be _____.a. proportional

b. congruent

c. parallel

d. similar

68. Given that ∆ABC ∼ ∆DEF, solve for x and y.

a. x = 9.75, y = 11.2

b. x = 8.75, y = 11.2

c. x = 8.75, y = 10.2

d. x = 9.75, y = 10.2

69. The perimeter of ∆PQR is 80, PQ = 30, ∆PQR

∼∆STU, and ST = 18. What is the perimeter of

∆STU?

a. 18.4

b. 6.8

c. 48

d. 24

70. A rectangle has a length of 9 mm. A similar

rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?a. 9 mm

b. 6 mm

c. 3 mm

d. 4 mm

13

71. The triangles below are similar. Find x.

a. 2.9

b. 130

c. 123.5

d. 49.4

72. Which triangle is NOT similar to any of the others?

a.

b.

c.

d.

73. Two ladders are leaning against a wall at the same

angle as shown.

How far up the wall does the shorter ladder reach?

a. 16 ft

b. 18 ft

c. 22 ft

d. 36 ft

74. One way to show that two triangles are similar is to

show that ______.a. two angles of one are congruent to two angles

of the other

b. two sides of one are proportional to two sides of the other

c. a side of one is congruent to a side of the other

d. an angle of one is congruent to an angle of the other

75. The postulate or theorem that can be used to prove that the two triangles are similar is _____.

a. SAS Similarity Theorem

b. ASA Congruence Theorem

c. SSS Similarity Theorem

d. AA Similarity Postulate

14

76. If the corresponding sides of two triangles are

proportional, then _____.a. the triangles are right triangles

b. the triangles are similar

c. corresponding side lengths are equal

d. the triangles are congruent

77. Given: PQ || BC . Find the length of AQ.

a. 17

b. 19

c. 12

d. 15

78. If ∆ABC ~ ∆PBQ, then which of the following proportions is NOT true?

a.AC

PQ=

CB

QB

b.AP

PB=

AC

PQ

c.AP

PB=

CQ

QB

d.PB

AB=

PQ

AC

79. For the figure shown, which statement is not true?

a.w

y=

x

z

b. wx = yz

c. wz = xy

d.w

x=

y

z

80. The dashed triangle is the image of the solid

triangle for a dilation with center at the origin. What is the scale factor?

a.2

3

b.3

2

c. 3

d.1

3

15

81. One triangle is shown on the coordinate grid. Two

vertices for a second triangle are also shown. Which coordinates for the third vertex will form another triangle that is similar to the triangle that is shown?

a. −7, − 7ÊËÁÁ

ˆ¯̃̃

b. −7, − 2ÊËÁÁ

ˆ¯̃̃

c. −7, − 5ÊËÁÁ

ˆ¯̃̃

d. −7, 5ÊËÁÁ

ˆ¯̃̃

In the figure below, ∆ABC ∼ ∆A' B ' C ' .

82. Which statement is true of the transformation from

∆ABC to ∆A' B ' C ' .?a. The measures of all corresponding angles

change by a scale factor of 2.

b. The measures of all corresponding angles

change by a scale factor of 1

2.

c. The lengths of all corresponding sides change by a scale factor of 2.

d. The lengths of all corresponding sides change

by a scale factor of 1

2.

83. For the triangle shown below, the Pythagorean Theorem states that _____.

a. e2

+ f2

= g2

b. e = f + g

c. f2

− g2

= e2

d. e2

= f2

+ g2

16

84. If a, b, and c are sides of a right triangle, which of

the following are also sides of a right triangle?

a. The square root of each length ( a , b ,

c )

b. Twice the length of each side (2a, 2b, 2c)

c. Four more than each length (a + 4, b + 4, c + 4)

d. The square of each length

85. Which of the following sets of numbers is a

Pythagorean triple?

a. 3 , 4 , 5

b. 12, 16, 20

c.1

3,

1

4,

1

5

d. 32 , 42 , 52

86. A set of Pythagorean triples is _____.

a. 3, 5, 9

b. 1, 1, 2

c. 6, 9, 12

d. 5, 12, 13

87. A 25.5 foot ladder rests against the side of a house at a point 24.1 feet above the ground. The foot of the ladder is x feet from the house. Find the value of x to one decimal place.

a. 1.9

b. 7.0

c. 8.3

d. 10.1

88. A freshly-planted sapling is braced by 3 cables

attached to a collar secured to the sapling 8 feet up the trunk. Each cable is staked into the ground 3 feet from the sapling's trunk.

If fastening a cable to the collar uses 8 inches of cable and fastening it to its stake also uses 8 inches of cable, about how much cable has been used?

a. about 29.6 feet

b. about 27.6 feet

c. about 25.3 feet

d. about 26.3 feet

89. Which set of lengths cannot form a right triangle?

a. 6 mm, 12 mm, 13 mm

b. 5 mm, 12 mm, 13 mm

c. 2.5 mm, 6 mm, 6.5 mm

d. 10 mm, 24 mm, 26 mm

90. If the side lengths of a triangle are 7, 6, and 9, the triangle _____.

a. is an obtuse triangle

b. is a right triangle

c. is an acute triangle

d. cannot be formed

91. Choose the set that is the possible side lengths of a right triangle.

a. 1, 1, 2

b. 1, 1, 2

c. 3, 4, 7

d. 3, 5, 9

17

92. A board 8 feet long is to be used as a temporary

brace for a section of fence that has a broken post. If the board is nailed to the fence 6 feet above ground level, about how far from the base of the fence is the other end of the board when it is fastened to a stake in the ground?

a. 7.2 feet

b. 5.3 feet

c. 6.8 feet

d. 2 feet

93. Choose the set that is the possible side lengths of a

right triangle.

a. 4, 9, 13

b. 2 , 2 , 2

c. 1, 1, 2

d. 8, 15, 25

94. Which of the following cannot be the lengths of a

30°-60°-90° triangle?

a.21

13,

42

13,

21

133

b. 23, 46, 46 3

c. 27, 54, 27 3

d. 6, 12, 6 3

95. An equilateral triangle has side lengths of 10. The

length of its altitude is _____.

a. 10 5

b. 5

c. 5 10

d. 5 3

96. The tangent of ∠B is _____.

a.95

7

b.95

12

c. 7 95

d.12

7

97. The cosine of ∠A is the ratio _____.

a.adj.

hyp.

b.opp.

hyp.

c.hyp.

adj.

d.opp.

adj.

18

98. To find the height of a tower, a surveyor positions

a transit that is 2 meters tall at a spot 95 meters

from the base of the tower. She measures the angle

of elevation to the top of the tower to be 32°. What is the height of the tower, to the nearest meter?

a. 154 m

b. 59 m

c. 61 m

d. 152 m

99. A slide 4.1 m long makes an angle of 27° with the

ground. How high is the top of the slide above the ground?a. 1.86 m

b. 3.65 m

c. 1.93 m

d. 2.09 m

100. Which statement is true?

a. All quadrilaterals are squares.

b. All rectangles are squares.

c. All parallelograms are quadrilaterals.

d. All quadrilaterals are parallelograms.

101. What is x to the nearest hundredth? (not drawn to

scale)

a. x = 16.66b. x = 13.51c. x = 11.15d. x = 10.04

102. Find tan B for the right triangle below:

a.8

17

b.15

17

c.8

15

d.15

8

103. Find x. Round the result to the nearest hundredth.

a. x = 13.51b. x = 11.15c. x = 10.04d. x = 16.66

104. Which of the following is NOT enough information to solve a right triangle?

a. Two sides

b. One side length and one trigonometric ratio

c. Two angles

d. One side length and one acute angle measure

105. Find the measure of each exterior angle of a regular

polygon with 16 sides.

a. 11.25°

b. 360°

c. 22.5°

d. 157.5°

19

106. Choose the statement that is NOT ALWAYS true.

For any parallelogram _______.a. the diagonals bisect each other

b. opposite angles are congruent

c. the diagonals are perpendicular

d. opposite sides are congruent

107. If ON =7x − 5, LM =6x + 3, NM =x − 4, and

OL =2y + 5, find the values of x and y given that

LMNO is a parallelogram.

a. x = 1

2; y =

13

2

b. x = 8; y = −2

c. x = 8; y = −1

2

d. x = 2; y = −2

108. Choose the statement that is NOT ALWAYS true.

For a rhombus ________.a. each diagonal bisects a pair of opposite angles

b. all four sides are congruent

c. the diagonals are congruent

d. the diagonals are perpendicular

109. The diagonals of a parallelogram always

_________.a. are congruent

b. are parallel

c. bisect each other

d. are perpendicular

110. Which statement is NOT always true of a rhombus?

a. The diagonals are perpendicular to each other.

b. The diagonals bisect each other.

c. Each diagonal is longer than at least one side.

d. The sum of the diagonals is less than the perimeter.

111. Identify two chords.

a. IJ and KL

b. GH and KL

c. GH and IJ

d. GI and HJ

112. A circle is the set of all points in a plane that _____.

a. have a center

b. are equidistant from a given point

c. have a diameter

d. lie within a given radius

113. A segment with endpoints on a circle is a _____.

a. secant

b. radius

c. tangent

d. chord

114. The center of a circle lies on _____.

a. every diameter

b. the circle

c. a tangent line

d. every chord

115. If a circle has a diameter of 12, then it has _____.

a. a radius of 4

b. a radius of 24

c. a radius of 6

d. a diameter of 6

116. A line which intersects a circle at exactly one point is called_____.

a. a point of tangency

b. a tangent line

c. a chord

d. a secant

20

117. The circle is circumscribed by the pentagon as

shown (not drawn to scale). If QZ = 10, YX = 9,

XW = 13, UW = 16, and SU = 17, find the

perimeter of the pentagon.

a. 120

b. 98

c. 130

d. 88

118. Use the figure. SR is tangent to ñQ at R. Choose

the true statement.

a. m∠RQS + m∠QSR = 180°

b. m∠RQS= 90°

c. m∠SRQ = 90°

d. SQ ≅ SR

119. RP is tangent to ñG at P. RQ is tangent to ñG at

Q. Choose the statement that is NOT true.

a. ∠GRP ≅ ∠GRQ

b. ∠PGR ≅ ∠QGR

c. PR ≅ QR

d. ∠GPR is obtuse.

120. A wooden wagon wheel has 12 equally spaced

spokes radiating from the central hub.

What is the measure of the angle that determines the separation between two adjacent spoke holes?

a. 22.5°

b. 30°

c. 12°

d. 45°

121. Find the value of x.

a. 11.6

b. 12.4

c. 6.7

d. 8.0

21

122. Given AC bisects BD , choose the true statement that refers to the figure.

a. CD = BA

b. BCD is a major arc.

c. AC is a diameter.

d. BAD is a minor arc.

123. Write the standard equation of a circle with its

center at the origin and radius 3.

a. x2

+ y2 = 6

b.x

2

6 +

y2

6 = 1

c. x2

+ y2 = 9

d. x2

+ y2 = 3

124. A rectangle has length l and width w. An expression for its area is _____.

a. 2(l + w)

b. l2

+ w2

c. l ⋅ w

d. lw

125. The area of the parallelogram is _____.

a. 680 sq. units

b. 800 sq. units

c. 40 111 sq. units

d. 340 sq. units

126. If the sides of a square are made eight times longer,

how many times the area of the original figure

is the area of the new figure?

a. 128 times

b. 8 times

c. 64 times

d. 640 times

127. For a circle of radius 5 feet, find the length of an

arc s with a measure of 28°.

a. s =7

9π feet

b. s =7

18π feet

c. s =1

36π feet

d. s = 140π feet

128. Find the length of a 40° arc in a circle with a radius of 4.

a.8π

9

b. 8π

c.9π

8

d.16π

9

129. In this figure, each circle has a radius of 2 inches. What is the area of the portion outside the circles but inside the square? Express your answer in

terms of π.

a. 24 − 8π

b. 24 − 12π

c. 144 − 4π

d. 144 − 36π

22

130. A survey about the student government program at

the school found that 350 students wanted

after-school student government programs, 210

students wanted student government classes during

the day, and 140 students thought that the school

should have no student government program. If a circle graph were made from this data, what would be the measure of the central angle for the

"in-school" group?

a. 110°

b. 108°

c. 210°

d. 205°

131. Find the area of the shaded region.

a. 153.94 cm2

b. 30.79 cm2

c. 123.15 cm2

d. 38.48 cm2

132. Find the area of an equilateral triangle with side

length 14.

a. 21 3

b. 42

c. 98

d. 49 3

133. An aquarium in a restaurant is a rectangular prism

and measures 4.5 feet by 4 feet by 2 feet. What is

the volume of the aquarium?a. 32 cubic feet

b. 36 cubic feet

c. 10.5 cubic feet

d. 12.5 cubic feet

134. Find the exact volume of a cylinder that has a

height of 18 inches and a radius of 8 inches.

a. 384π in3

b. 288π in3

c. 1152π in3

d. 144π in3

135. Find the volume of the right triangular prism.

a. 210 m3

b. 31 m3

c. 105 m3

d. 20.5 m3

136. A cylindrical vase has a diameter of 4 inches and a height of 14 inches. You place some marbles at the bottom of the vase that take up about 38 cubic inches. You fill vase with water up to 3 inches from the top. Write an expression you can use to determine the approximate volume of water in the vase?

a. π 4( ) 214( ) − 38

b. π 4( ) 214 − 3( ) − 38

c. π 2( ) 214 − 3( ) − 38

d. π 2( ) 214( ) − 3 2( ) 2

− 38

23

137. The pyramid shown has a rectangular base and

faces that are isosceles triangles. Find its volume.

a. 80 ft3

b. 240 ft3

c. 34 ft3

d. 384 ft3

138. A pyramid-shaped puzzle exactly fits its cubic

storage box. The space between the puzzle and the sides of the box is filled with a light-weight plastic foam to help protect the puzzle during shipping.

What is the volume of the foam?

a. 171.50 cm3

b. 228.67 cm3

c. 240.10 cm3

d. 114.33 cm3

139. Find the volume of a sphere 4 ft in diameter. Use

π ≈ 3.14 and round your answer to the nearest tenth.

a. 16.7 ft3

b. 18.8 ft3

c. 33.5 ft3

d. 25.1 ft3

140. What is the volume of a sphere with diameter 9.4 feet?

a. 434.9 ft3

b. 277.6 ft3

c. 69.4 ft3

d. 92.5 ft3

Simplify:

141. 300

a. 10 30

b. 10 3

c. 30

d. 3 10

142. 200

a. 10 2

b. 5 2

c. 50 2

d. 20 2

Simplify:

143. 10 ⋅ 4

a. 2 10

b. 4 5

c. 2 5

d. 40

144. 30· 12

a. 9 20

b. 12 10

c. 6 10

d. 3 40

24

145. 11 25

a. 137.5

b. 16

c. 55

d. 27.5

Simplify:

146. 49

100

a.7

50

b.3

4

c.7

100

d.7

10

147. Topics that you should know from Acc Alg

include, but are not limited to:

1) Angles with parallel lines and transversals

2) Triangle Congruences andSimiliarities

3) Properties of Quadrilaterals

4) Properties of Circles

5) Volume of solids

6) Triangle and Angle Proofs

7) Special Right Triangles

8) Right Triangle Trigonometry

9) Pythagorean Theorem

10) Triangle Midsegment

11) Distance and Midpoint Formulas

12) Area and Perimter Formulas

13) Slope and Parallel and Perpendicular Lines

148. This assignment will be due the first week of

school.There will be a test over this material

within the first week of school. This material

also covers half of the material on the Geometry

Milestones test you will take in December.

Good luck and work hard !

ID: A

1

Accelerated Geometry Summer Assignment

Answer Section

1. C

2. C

3. C

4. D

5. D

6. D

7. C

8. D

9. C

10. C

11. B

12. A

13. A

14. A

15. D

16. A

17. D

18. D

19. C

20. B

21. B

22. A

23. A

24. D

25. D

26. B

27. C

28. A

29. D

30. A

31. D

32. D

33. D

34. A

35. D

36. B

37. D

38. B

39. C

40. D

41. C

42. B

ID: A

2

43. A

44. B

45. B

46. D

47. A

48. D

49. C

50. B

51. D

52. A

53. C

54. B

55. B

56. C

57. C

58. C

59. B

60. A

61. B

62. C

63. C

64. D

65. D

66. C

67. A

68. B

69. C

70. C

71. C

72. D

73. B

74. A

75. D

76. B

77. D

78. B

79. B

80. D

81. C

82. D

83. D

84. B

85. B

86. D

87. C

ID: A

3

88. A

89. A

90. C

91. B

92. B

93. B

94. B

95. D

96. A

97. A

98. C

99. A

100. C

101. D

102. D

103. C

104. C

105. C

106. C

107. C

108. C

109. C

110. C

111. C

112. B

113. D

114. A

115. C

116. B

117. B

118. C

119. D

120. B

121. C

122. C

123. C

124. C

125. A

126. C

127. A

128. A

129. D

130. B

131. B

132. D

ID: A

4

133. B

134. C

135. C

136. C

137. A

138. B

139. C

140. A

141. B

142. A

143. A

144. C

145. C

146. D

147. b

148. d