Free Printable Review - All Geometry

1.

$\left(n^3-3n-5n^2\right)+\left(n^2+3+2n^3\right)$

a)

$-n^3-4n^2+n+3$

b)

$3n^3-4n^2+n+3$

c)

$2n^3-4n^2+n+3$

d)

$3n^3-4n^2-3n+3$

2.

$\left(4m-4m^3+m^2\right)-\left(m^3-5-2m\right)$

a)

$-5m^3-2m^2+6m+9$

b)

$-5m^3+m^2+6m+9$

c)

$-5m^3-2m^2+m+9$

d)

$-5m^3+m^2+6m+5$

3.

$\left(5x^3-3-3x^2\right)-\left(5-5x^3+2x^2\right)$

a)

$10x^3-5x^2-8$

b)

$10x^3-10x^2-8$

c)

$10x^3-10x^2-3$

d)

$10x^3-10x^2-7$

4.

Simplify the expression.
-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

5.

Multiply:

(r + 7)(r − 7)

a)

r ²− 49

b)

r ²+ 14

c)

r ² − 7r + 49

d)

r ² − 7r + 7

6.

Multiply:

(y + 9)²

a)

y² +18y + 81

b)

y² + 81

c)

y + 9

d)

y² +18y + 18

7.

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

8.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

9.

Identify the transformation from A to D.

a)

90^o Clockwise Rotation

b)

180^o Rotation

c)

270^o Clockwise Rotation

d)

360^o Rotation

10.

The point that is to be transformed is called the:

a)

Pre-Image

b)

Image

c)

Post-Image

d)

Triangle

11.

Choose the correct scale factor:

a)

2.5

b)

1.5

c)

3.5

d)

4

12.

Which of the following transformation will map the regular pentagon onto itself?

a)

x axis reflection

b)

y axis reflection

c)

90 degree rotation

d)

180 degree rotation

13.

Which of the following transformation will map the trapezoid onto itself?

a)

x axis reflection

b)

reflection across green line

c)

rotation 90 degrees about (2,-1)

d)

reflection across the blue line

14.

Which of the following transformation will map the regular pentagon onto itself?

a)

reflection across blue line

b)

reflection across green line

c)

108 degree rotation about the origin

d)

216 degree rotation about the origin

15.

Which transformation will map the rectangle onto itself?

a)

90 degree rotation about the center point

b)

180 degree rotation about the center point

c)

reflection across the x axis

d)

reflection across the bue line

16.

Which of the following transformations will not map the regular hexagon onto itself?

a)

270 degree rotation about the origin

b)

x axis reflection

c)

y axis reflection

d)

refleciton acorss the blue line

17.

Which Transformation will map the trapezoid onto itself?

a)

180 degree rotation about the origin

b)

180 degree rotation about (-4.5, 3.5)

c)

reflection across the blue line

d)

reflection across the green line

18.

Which transformation will map the parallelogram onto itself?

a)

reflection x axis

b)

reflection y axis

c)

refection across the green line

d)

none of these above

19.

which transformation will map the regular octagon onto itself?

a)

30 degree rotation about the center

b)

45 degree rotation about the center

c)

120 degree rotation about the center

d)

225 degree rotation about the center

e)

270 degree rotation about the center

20.

What is the algebraic notation of a figure is Translated 9 units right and 3 units down?

a)

(x, y) --> (x - 9, y + 3)

b)

(x, y) --> (x + 9, y - 3)

c)

(x, y) --> (x + 3, y - 9)

d)

(x, y) --> (9x, 3y)

21.

The dashed figure is the image of the solid figure. What is the Algebraic Notation for the Translation?

a)

(x, y) --> (x - 7, y + 4)

b)

(x, y) --> (x + 7, y - 4)

c)

(x, y) --> (x + 4, y - 7)

d)

(x, y) --> (7x, 4y)

22.

Which are pairs of vertical angles?

a)

∠COB & ∠COA

b)

∠AOD & ∠AOC

c)

∠COB & ∠AOD

d)

∠BOD & ∠AOD

23.

Angles a and e are what type of angles?

a)

Vertical Angles

b)

Corresponding Angles

c)

Alternate Interior Angles

d)

Alternate Exterior Angles

24.

Angles e and d are what type of angles?

a)

Vertical Angles

b)

Corresponding Angles

c)

Alternate Interior Angles

d)

Alternate Exterior Angles

25.

Fill in the missing proofs.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Reflexive Property, Vertical Angles Thm.

d)

Transitive Property, SSS(Side-Side-Side)

26.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Transitive Property, SSS(Side-Side-Side)

d)

Reflexive Property, SSS(Side-Side-Side)

27.

What is the "statement" for step 3 of the proof?

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

28.

What is the "reason" for step 4 of the proof?

a)

proof

b)

AAS
≅ Thrm

c)

ASA
≅ Thrm

d)

SAS
≅ Thrm

29.

Are the triangles congruent, if yes, why?

a)

SAS

b)

ASA

c)

AAS

d)

Not congruent

30.

Are the triangles congruent, if yes, why?

a)

SAS

b)

ASA

c)

AAS

d)

Not Congruent

31.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

32.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

AAS

d)

Not Congruent

33.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

34.

Determine if the triangles are congruent, if "yes" state the theorem.

a)

not congruent

b)

yes, SSS

c)

yes, SAS

d)

yes, ASA

35.

What triangle congruence criteria is shown in the given diagram?

a)

ASA

b)

AAS

c)

SSA

d)

HL

36.

This is a picture of ___________.

a)

Minor Arc

b)

Major Arc

c)

Semi-Circle

d)

Central Angle

37.

This is a picture of ___________.

a)

Minor Arc

b)

Major Arc

c)

Semi-Circle

d)

Central Angle

38.

This is a picture of ___________.

a)

Chord

b)

Diameter

c)

Radius

d)

Inscribed Angle

39.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

40.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

41.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

42.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

43.

Find the area of the bolded sector.

a)

4248 m²

b)

7.9 m²

c)

2827.4 m²

d)

11.8 m²

44.

Which attribute do both A and D have that B and C do not?

a)

4 sides

b)

at least 1 right angle

c)

2 pairs of parallel lines

d)

at least 1 pair of parallel lines

45.

Which of the following properties is true about parallelograms?

a)

Base angles are congruent.

b)

Diagonals are congruent.

c)

Opposite sides are parallel.

46.

Which of these must have congruent diagonals? Check all that apply.

a)

Rectangle

b)

Square

c)

Rhombus

d)

Parallelogram

e)

Trapezoid

47.

The diagonals of a square are

a)

parallel

b)

congruent

c)

perpendicular

d)

congruent and perpendicular

48.

Which quadrilateral(s) have opposite sides that are congruent?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

49.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

50.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

51.

Find the measure of each angle indicated.

a)

30

b)

39

c)

70

d)

28

52.

The pair of figures is similar. Find the missing side.

a)

x = 12

b)

x = 3

c)

x = 40

d)

x = 4

53.

The pair of figures is similar. Find the missing side.

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

54.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

55.

Solve:

a)

4

b)

6

c)

-2

d)

5

56.

Cross Multiply/Cross Products

a)

15

b)

420

c)

28

d)

16

57.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

58.

Which rule shows the transformation?

a)

(x, y) ----> (0.5x, 0.5y)

b)

(x, y) ----> ( 2 + x, 2 + y)

c)

(x, y) -----> (2x, 2y)

d)

(x, y) -----> (3x, 3y)

59.

Find the missing length.

a)

35

b)

28

c)

42

d)

13

60.

Find the missing length.

a)

21

b)

18

c)

16

d)

24

61.

Which proportion would be correct in order to solve for x. (Hint: remember the side splitter theorem states the sides of the triangles are proportional)

a)

x/10 = 15/30

b)

x/10 = 45/30

c)

x/10 = 15/45

d)

x/10 = 30/15

62.

Solve for x.

a)

8

b)

6

c)

5

d)

-8

63.

Which Trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

64.

Set up the problem.

a)

sin(47) = x/28

b)

cos(47) = x/28

c)

tan(47) = x/28

d)

cos(47) = 28/x

65.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

66.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

67.

Which Trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

68.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

69.

What would you use to solve for a?

a)

sin

b)

cos

c)

tan

d)

Pythagorean theorem

70.

Find sinA

a)

32/40

b)

32/24

c)

24/40

d)

24/32

71.

a)

A

b)

B

c)

C

d)

D

72.

a)

A

b)

B

c)

C

d)

D

73.

a)

A

b)

B

c)

C

d)

D

74.

a)

A

b)

B

c)

C

d)

D

75.

a)

A

b)

B

c)

C

d)

D

76.

Choose the correct ratio.

a)

sinZ=5/13

b)

sinX=5/13

c)

cosX=13/12

d)

tanZ=12/5

77.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

78.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

79.

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?

a)

25 feet

b)

45 feet

c)

110 feet

d)

135 feet

80.

Convert 510^o to Radians

a)

25π / 3

b)

23π / 8

c)

17π / 6

d)

51π / 8

81.

Convert 210^o to Radians

a)

7π / 6

b)

21π / 10

c)

5π / 6

d)

9π / 4

82.

Convert 270^o into radians

a)

π/ 4

b)

3π/ 2

c)

3π/ 4

d)

π/ 2

83.

Convert -41π / 12 radians into degrees

a)

-600^o

b)

-605^o

c)

-610^o

d)

-615^o

84.

Convert 35π / 18 radians into degrees

a)

350^o

b)

340^o

c)

355^o

d)

345⁰

85.

What is the volume of both shapes?

a)

150 cm³

b)

65 cm³

c)

300 cm³

d)

225 cm³

86.

Find the volume of the following shape.

(What two solids are being added together??)

a)

4155.27 m³

b)

1038.82 m³

c)

804.24 m³

d)

1005.31 m³

87.

Which equation would you use to find the volume of this composite figure?

a)

8³ + ⁴/₃π(8)³

b)

8³ + ⁴/₃π(4)³

c)

8³ + (¹/₂)(⁴/₃)π(4)³

88.

Which equation would you use to find the volume of this composite figure?

a)

π(2)²(8) + ⁴/₃π(2)³

b)

π(2)²(4) + ⁴/₃π(2)³

89.

Find a (Angle W)

a)

a=74 degrees

b)

a=93 degrees

c)

a=87 degrees

d)

a=106 degrees

90.

Find the value of d.

a)

115

b)

65

c)

96

d)

180

91.

What is the measure of angle A?

a)

34°

b)

180°

c)

112°

d)

79°

92.

Find b (angle Z).

a)

b=93 degrees

b)

b=74 degrees

c)

b=106 degrees

d)

b=87 degrees

93.

Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0

a)

(x+2)² + (y+3)² = 49

b)

(x+2)² + (y+3)² = 13

c)

(x-2)² + (y-3)² = 49

d)

(x-2)² + (y-3)² = 13

94.

Determine the equation of a circle with center (5,-3) and radius of 9

a)

x²+y²-10x+6y-47=4

b)

x²+y²-10x-6y-47=0

c)

2x²+y²+10x+6y-47=0

d)

x²+y²-10x+6y-47=0

95.

Determine the equation of the circle in standard form: x²+ y²+ 6x - 12y + 20 = 0

a)

(x-3)² + (y+6)² = 25

b)

(x+3)² + (y-6)² = 25

c)

(x-3)² + (y+6)² = 45

d)

(x+3)² + (y-6)² = 5

96.

Determine the center and radius:
x²+ y²- 10x + 8y -8 = 0

a)

C = (5,-4) r = 7

b)

C = (-5,4) r = 7

c)

C = (-4,5) r = 49

d)

C = (5,-4) r = 49

97.

Select the matching graph.

a)

b)

c)

d)

98.

What percent of female athletes surveyed play basketball?

a)

16%

b)

52%

c)

23%

d)

31%

99.

What percentage of males drive sports cars?

a)

35%

b)

16.25%

c)

65%

d)

25%

100.

How many people purchased no food and no drink?

a)

60

b)

10

c)

20

d)

200

101.

What percent of the total population surveyed were electrical engineers that like math?

a)

33.9%

b)

48.6%

c)

16.5%

d)

21.7%

102.

What percent of people who play an instrument do not play a team sport?

a)

80%

b)

27.2%

c)

40%

d)

90.1%

103.

What percent of people who bought no food purchased water?

a)

14.3%

b)

33.3%

c)

5%

d)

41.1%

104.

How many female participants were surveyed?

a)

45

b)

73

c)

16

d)

12

105.

How many total people were surveyed about what ice cream flavor they would pick?

a)

107

b)

92

c)

70

d)

269

106.

What is the probability that a randomly selected student would be in band?

a)

.275

b)

.225

c)

.1818

d)

.4

107.

What statement does the shaded region represent?

a)

A or B

b)

A and B

c)

A

d)

B

108.

What statement does the shaded region represent

a)

A or B

b)

Not A

c)

A and B

d)

Not B

109.

What statement does the shaded region represent?

a)

A and B and C

b)

A or B and C

c)

B and C

d)

A or C

110.

What statement does the shaded region represent?

a)

A or B and C

b)

Not C

c)

A or B

d)

B and C or A

111.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

Review - All Geometry

Total questions: 111

Worksheet time: 8hrs 45mins

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