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Worksheets

Geometry Exam Review

Total questions: 243

Worksheet time: 7hrs 29mins

Name
Class
Date
1.

What is the measure of angle PNQ?

a)

70o

b)

35o

c)

45o

d)

90o

2.
a)

90o

b)

180o

c)

100o

d)

80o

3.

Find the length of CF.

a)

8

b)

4

c)

3

d)

6

4.

Circle P is dilated to form circle P'. Which statement is ALWAYS true?

a)

The radius of circle P is equal to the radius of circle P'

b)

The length of any chord in circle P is greater than the length of any chord in circle P'

c)

The diameter of circle P is greater than the diameter of circle P'

d)

The ratio of the the diameter to the circumference is the same for both circles.

5.
a)

15o

b)

30o

c)

60o

d)

120o

6.
a)

25.0 m2

b)

27.93 m2

c)

6.98 m2

d)

50.0 m2

7.
a)

30.37 yd

b)

182.21 yd

c)

145.0 yd

d)

60.74 yd

8.
a)

1.8 inches

b)

5.7 inches

c)

11.3 inches

d)

25.4 inches

9.

What is the volume of the cone?

a)

320π

b)

363π

c)

1280π

d)

960π

10.
a)

The cylinders have different volumes because they have different radii

b)

The cylinders have different volumes because they have different surface areas.

c)

The cylinders have the same volume because the washers are solid

d)

The cylinders have the same volume because they have the same cross-sectional area at every plane parallel to the bases.

11.
a)

127.23 in3

b)

254.47 in3

c)

42.41 in3

d)

381.70 in3

12.
a)

8

b)

41

c)

83

d)

125

13.
a)

x2 + y2 + 4x - 6y + 22 = 0

b)

2x2 + 2y2 + 3x - 3y + 4 = 0

c)

x2 + y2 + 4x - 6y + 4 = 0

d)

3x2 + 3y2 + 4x - 6y + 4 = 0

14.
a)

(5,0)

b)

(0,5)

c)

(-5,0)

d)

(0,-5)

15.

Your boss at work randomly assigns everyone an extra 2 hours on weekend evenings between 4 and midnight. What is the probability that you get a shift that is on Saturday and lasts from 6pm - 8pm?

a)

0.5

b)

0.125

c)

0.75

d)

0.25

16.

Which point is on a circle with a center of (3,-9) and a radius of 5?

a)

(-6,5)

b)

(-1,6)

c)

(1,6)

d)

(6,-5)

17.

Find the coordinates of P so that P partitions the segment AB in the ratio 1 to 3 if A (-5,4) and B(7,-4).

a)

(-2,2)

b)

(-1,1)

c)

(-8, 8)

d)

(2,-2)

18.
a)
b)
c)

y = 2x - 2

d)

y = 2x + 8

19.
a)
b)
c)
d)
20.

What is the probability that a randomly selected person has blond hair given that the person selected is male?

a)

0.51

b)

0.55

c)

0.58

d)

0.63

21.

A graduated cylinder has 13 mL of water in it. An irregularly shaped pebble is placed in the cylinder and water level rises to 21 mL. The mass of the rock is 17g. Find the density of the pebble.

a)

2.125 g/mL

b)

0.471 g/mL

c)

0.81 g/mL

d)

1.308 g/mL

22.

Find the measure of ∠QRS.

a)

6o

b)

115o

c)

65o

d)

119o

23.

Mrs. Klein surveyed 240 men and 285 women about their vehicles. Of those surveyed, 155 men and 70 women said they own a red vehicle. If a person is chosen at random from those surveyed, what is the probability of choosing a woman or a person who does NOT own a red vehicle?

a)

0.25

b)

0.68

c)

0.70

d)

0.84

24.

Find the missing probability.

a)
b)
c)
d)
25.

A farmer keeps 6 mules in a pasture of 205,000 ft2. The average amount of pasture needed to feed mules is 1 acre per mule. He currently does not have enough space to accommodate each mule. How much more land (in acres) does he need? (1 acre = 43,560 ft2)

a)

4.54 acres

b)

1.29 acres

c)

56,360 acres

d)

197,740 acres

26.

Find the length of the arc.

a)

11π2\frac{11\pi}{2}

b)

26π3\frac{26\pi}{3}

c)

121π4\frac{121\pi}{4}

d)

19π6\frac{19\pi}{6}

27.

Find the area of the bolded sector.

a)

2π3\frac{2\pi}{3}

b)

75π2\frac{75\pi}{2}

c)

28π3\frac{28\pi}{3}

d)

363π4\frac{363\pi}{4}

28.
a)
70 units3
b)
19 units3
c)
88 units3
d)
165 cm3
29.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
30.

Find the volume.

a)
3617.3 cm3
b)
1205.8 cm3
c)
361.7 cm3
d)
120.6 cm3
31.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
32.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
33.
Find the slope of a line perpendicular to the line below.
 y = 2x + 4
a)
2
b)
-1/2
c)
1/2
d)
-2
34.

Which of the following is the equation of the line that has a slope of 3 and passes through the point ( - 1, 9 )?

a)

y = - 3x + 12

b)

y = 3x + 3

c)

y = 3x + 12

d)

y = 3x - 3

35.

. What is the probability that a student has a brother given that they do not have a sister?

*Write your answer as a fraction*

(a)  

36.
P(Sandals|Pants):
a)
4/20
b)
6/15
c)
1/2
d)
2/7
37.
What is P(not sport | Foreign language)?
a)
23/37
b)
14/23
c)
14/37
d)
3/23
38.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)2 + y2 = 9

b)

x2 + (y -7)2 = 9

c)

(x - 7)2 + y2 = 3

d)

x2 + (y -7)2 = 3

39.

What are the coordinates of the center and the radius of the circle with equation:

(x - 4)2 + (y - 3)2 = 25 ?

a)

Center (4,3)

Radius = 5 units

b)

Center (4,3)

Radius = 25 units

c)

Center (-4,-3)

Radius = 25 units

d)

Center (-4,-3)

Radius = 5 units

40.

What is the equation of the circle?

a)

(x+1)2 + (y +1)2 = 3

b)

(x+1)2 + (y -1)2 = 3

c)

(x+1)2 + (y +1)2 = 9

d)

(x-1)2 + (y -1)2 = 9

41.

What is BD?

a)

Chord

b)

Radius

c)

Secant

d)

Tangent

42.

What is HA?

a)

Point of Tangency

b)

Radius

c)

Circle

d)

Tangent

43.

What is ∠JIH\angle JIH  ?

a)

Central Angle

b)

Point of Tangency

c)

Inscribed Angle

d)

Right Angle

44.
a)

A

b)

B

c)

C

d)

D

45.
a)
A
b)
B
c)
C
d)
D
46.

Determine if the two triangles Are congruent . If so , state how you know

a)

Side-Angle-Side

b)

Angle-Side-Angle

c)

Side-Side-Side

d)

Not Enough Information

47.

Determine if the two triangles Are congruent . If so , state how you know

a)

Side-Angle-Side

b)

Angle-Side-Angle

c)

Side-Side-Side

d)

Not Enough Information

48.

Determine if the two triangles Are congruent . If so , state how you know

a)

Side-Angle-Side

b)

Angle-Side-Angle

c)

Side-Side-Side

d)

Not Enough Information

49.

ΔAEB ≅ ΔCED by...

a)

SAS

b)

ASA

c)

AAS

d)

SSS

50.
State if the two triangles are congruent.  If they are, state which theorem you would use.
a)
Yes, SAS
b)
Yes, SSS
c)
Yes, HL
d)
Not enough information
51.
Which algebraic rule will produce a translation that is 5 units to the right?
a)
(x, y)  --> (  x ,  y + 5)
b)
(x, y)  --> (  x-5 ,  y + 5)
c)
(x, y)  --> (  x-2 ,  y + 5)
d)
(x, y)  --> (  x+5 ,  y)
52.

(x,y) becomes (-x,y)

a)

Reflections over y-axis

b)

Reflections over x-axis

c)

Rotation of 90 CW

d)

Rotation of 180

53.

(x,y) becomes (-y,-x)

a)

Rotation of 180

b)

Rotation of 90 CCW

c)

Reflection over y=-x

d)

Reflection over x-axis

54.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the x-axis

c)

Reflection across the y-axis

d)

90o counter clockwise rotation

55.

How is the blue triangle rotated to the red triangle?

a)

90 clockwise

b)

90 counterclockwise

c)

180 clockwise

d)

180 counterclockwise

56.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
57.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
58.

Which of the following is a linear pair?

a)
b)
c)
d)
59.
∠2 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
60.
∠3 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
61.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
62.
a)
∠B=82°
b)
∠B=98°
c)
∠B=180°
d)
∠B=8°
63.
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
64.
a)
∠L=51°
b)
∠L=129°
c)
∠L=180°
d)
∠L=39°
65.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
66.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

y=−12x+12y=-\frac{1}{2}x+\frac{1}{2}

b)

y=12x+2y=\frac{1}{2}x+2

c)

y=−2x+7y=-2x+7

d)

y=−2x+8y=-2x+8

67.

Select the two lines that are perpendicular.

a)

y=4x−2y=4x-2

b)

y=−14xy=-\frac{1}{4}x

c)

y=−4x+1y=-4x+1

d)

None are perpendicular.

68.

Slopes of perpendicular lines are...

a)

opposite (sign) reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

69.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
70.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
71.

Directed line segment AB is partitioned by point P into a ratio of 1:3. Which of the following represent this relationship?

a)
b)
c)
d)
72.

How is triangle ABC being translated to triangle A'B'C'?

a)

3 up , 8 left

b)

9 down , 4 right

c)

8 down , 4 right

d)

2 up , 3 left

73.
a)

32

b)

50

c)

64

d)

80

74.
a)

42

b)

21

c)

11.5

d)

10.5

75.
a)

75

b)

150

c)

35.5

d)

37.5

76.
a)

A

b)

B

c)

C

d)

D

77.
a)

66

b)

124

c)

114

d)

132

78.
a)

A

b)

B

c)

C

d)

D

79.
a)

28

b)

100

c)

10

d)

48

80.

Hint: It's a 45-45-90 special right triangle!

a)

22

b)

22√2

c)

11

d)

11√2

81.
a)

3.5

b)

12.1

c)

6.1

d)

4

82.

Find x. Round to the nearest degree.

a)

67

b)

22

c)

83

d)

53

83.
a)

12

b)

4096

c)

128

d)

32

84.
a)

A

b)

B

c)

C

d)

D

85.
a)

A

b)

B

c)

C

d)

D

86.

Find the SURFACE AREA of the cone in terms of pi.

a)

A

b)

B

c)

C

d)

D

87.
a)

1

b)

2

c)

3

d)

4

88.
a)

1

b)

2

c)

3

d)

4

89.
a)

1

b)

2

c)

3

d)

4

90.
a)

1

b)

2

c)

3

d)

4

91.
a)

1

b)

2

c)

3

d)

4

92.
a)

1

b)

2

c)

3

d)

4

93.
a)
A
b)
B
c)
C
d)
D
94.
In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)
a)
15
b)
6
c)
-24
d)
14
95.
What is the value of x?
a)
A
b)
B
c)
C
d)
D
96.
Find the perimeter of the polygon.
a)
77.8
b)
73.4
c)
78.8
d)
67.4
97.
Solve for the missing angle.
a)
45o
b)
90o
c)
22.5o
d)
128o
98.
a)
A
b)
B
c)
C
d)
D
99.

Using the tangent lines, find the value of x.

a)

60

b)

120

c)

30

d)

300

100.

Determine the value of x using the information in the diagram.

a)

60º

b)

70º

c)

80º

d)

100º

101.
What is the circumference of a circle with a radius of 21 cm?
a)
131.88 cm
b)
121.99 cm
c)
111.89 cm
d)
141.89 cm
102.
Find the arc length.  Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
103.
What is the area of this circle?
a)
62.59
b)
113.1
c)
19.81
d)
28.27
104.
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.
105.

find the volume of the following cylinder ?

a)

552.9 m3

b)

662.9 m3

c)

1500 m3

d)

1520.5 m3

106.

Find the volume of the conical figure. Round to the nearest hundredth.

a)

14.13 in3

b)

56.55 in3

c)

169.65 in3

d)

113.10 in3

107.
A cargo container has a length of 14.6 meter, a width of 7.3 meter and a height of 7.3 meter. Find the volume of the container. 
a)
778 m3
b)
779 m3
c)
780 m3
d)
776 m3
108.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
109.
What is the equation of the circle?
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
110.
Find the distance between (-3, -11) and (8, -42).
a)
32.1
b)
32.3
c)
32.7
d)
32.9
111.

What is the slope of the line that passes through the points (2, 1) and (8, 9)?

a)

4/3

b)

-4/3

c)

3/4

d)

-3/4

112.

Find the midpoint:

a)


(3,−1)\left(3,-1\right)

b)

(−1,3)\left(-1,3\right)

c)

(3,4)\left(3,4\right)

d)

(4,3)\left(4,3\right)

113.

Use the table to determine the probability of selecting a female OR someone who prefers Jeeps.

a)

1551\frac{15}{51}

b)

1818\frac{18}{18}

c)

2851\frac{28}{51}

d)

4651\frac{46}{51}

114.

What is the probability of selecting a female AND she has to like Jeeps?

a)

751\frac{7}{51}

b)

351\frac{3}{51}

c)

818\frac{8}{18}

d)

851\frac{8}{51}

115.

A bag has 3 red marbles, 2 blue and 4 yellow. What is the probability of picking a red or yellow?

a)

3/10

b)

3/9

c)

1/9

d)

7/9

116.
What is the probability that a female is chose given they like a Toyota? 
a)
.525
b)
.4627
c)
.6774
d)
.3143
117.

Are the events "Boys" and "Red" independent?

a)

yes

b)

no

118.

What are the names of three collinear points?

a)

Points A, N, X are collinear.

b)

Points A, N, M are collinear

c)

Points M, R, C are collinear

d)

Points C, N, X are collinear

119.

What are the names of four coplanar points?

a)

Points A, N, X, R are coplanar.

b)

Points C, N, X, R are coplanar.

c)

Points A, N, X, M are coplanar.

d)

Points C, N, X, R are coplanar.

120.

Name the ray in the figure.

a)
b)
c)
d)
121.

What are the names of the segments in the figure?

a)
b)
c)
d)
122.

Find the length indicated.

a)

11

b)

6

c)

9

d)

7

123.
a)

6

b)

7

c)

9

d)

10

124.
a)

-1

b)

10

c)

0

d)

12

125.

Which angle is a right angle?

a)

A

b)

B

c)

C

d)

D

126.

Name an angle supplementary to <DOB

a)

<COB

b)

<BOA

c)

<DOE

d)

<EOA

127.

Name an angle complementary to <BOC

a)

<DOB

b)

<BOA

c)

<DOE

d)

<EOA

128.

Identify a pair of alternate exterior angles.

a)

<1 and <7

b)

<1 and <3

c)

<1 and <5

d)

<3 and <6

129.

What are three pairs of corresponding angles?

a)

angles 1 & 2, 3 & 8, and 4 & 7

b)

angles 3 & 4, 7 & 8, and 1 & 6

c)

angles 1 & 7, 2 & 4, and 6 & 7

d)

angles 1 & 5, 2 & 6, and 8 & 4

130.

Which angles are corresponding angles?

a)

<1 and <7

b)

<1 and <3

c)

<1 and <5

d)

<3 and <6

131.

This diagram of airport runway intersections shows two parallel runways. A taxiway crosses both runways. If <8 measures 100 degrees, what is the sum of the measures of <1 and <4?

a)

80 degrees

b)

100 degrees

c)

200 degrees

d)

99 degrees

132.

Find the value of k. The diagram is not to scale.

a)

40

b)

50

c)

45

d)

65

133.

Find the missing value. The diagram is not to scale.

a)

74 degrees

b)

71 degrees

c)

130 degrees

d)

116 degrees

134.
a)

84

b)

30

c)

86

d)

70

135.

Find the missing value. The diagram is not to scale.

a)

140

b)

105

c)

156

d)

157

136.
Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
137.
What is the hypothesis of the given Conditional Statement?
a)
Jimmy will go to Orlando
b)
Jimmy goes on vacation
c)
Jimmy will go to Orlando
d)
Who is Jimmy?
138.
A conditional statement is a(n):
a)
"if  _________, then _______ statement"
b)
statement that is always true
c)
biconditional statement
d)
counteerexample
139.
What is the converse to this statement?
a)
If it isn't dark outside, then it is not night.
b)
If it is night, then it is dark outside
c)
If it is not night, then it is not dark outside.
d)
It is night.
140.
What is the inverse to this statement?
a)
If you live in Canada, you live in Montreal
b)
If you don't live in Montreal, then you don't live in Canada.
c)
If you don't live in Canada, you don't live in Montreal.
d)
Montreal is in Brazil.
141.
Identify the conclusion.
a)
Clarkson will be the coolest
b)
Clarkson will not be the coolest
c)
Clarkson gives us Mountain Dew
d)
Clarkson will not give us Mountain Dew
142.
What is the contrapositive to this?
a)
If the food is not cooked, then it is not in the oven.
b)
If the food is not in the oven, then it is not cooked.
c)
If the food is cooked, then its in the oven.
d)
If food is not in the oven, then its cooked.
143.
To write the converse you negate both the hypothesis and the conclusion.
a)
False
b)
True
144.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.
a)
If the angles are congruent.
b)
The angles are congruent.
c)
Then the measures of the angles are equal.
d)
The measures of the angles are equal.
145.
Which is a counterexample for the following conditional:
If an electronic device has a screen then it is a television.
a)
television
b)
cell phone
c)
computer mouse
d)
keyboard
146.
Which of the following statements is the converse of "You cannot skateboard if you do not have a sense of balance."?
a)
If you cannot skateboard, then you do not have a sense of balance.
b)
If you do not have a sense of balance, then you cannot skateboard.
c)
If you skateboard, then you have a sense of balance.
147.
Which of the following statements is the inverse of "If it rains, then I do not go fishing."?
a)
If I go fishing, then it does not rain.
b)
If I do not go fishing, then it rains.
c)
If it does not rain, then I go fishing.
148.
Which of the following statements is the inverse of "If you do not understand geometry, then you do not know how to reason deductively."?
a)
If you reason deductively, then you understand geometry.
b)
If you understand geometry, then you know how to  reason deductively.
c)
If you do not reason deductively, then you understand geometry.
149.
Which of the following statements is the converse of "If the moon is full, then the vampires are prowling."?
a)
If the vampires are prowling, then the moon is full.
b)
If the moon is not full, then the vampires are prowling.
c)
If the vampires are not prowling, then the moon is not full.
150.
Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog. 
151.
Consider the following conditional. If true select true, if false pick the counter example.
"If a number is divisible by 6, then it is divisible by 3."
a)
True
b)
9
c)
18.
d)
21
152.
Consider the following conditional. If true select true, if false pick the counter example. 
"If a number is divisible by 3, then it is divisible by 6."
a)
True
b)
9
c)
18
d)
36
153.
If an animal is furry, then it is a bunny. What would be an appropriate counterexample?
a)
goldfish
b)
frog
c)
elephant
d)
cat
154.
The opposite of any number is smaller than the original number. What is an appropriate counterexample?
a)
original: -1 
opposite: 1
b)
original: 2
opposite: -2
c)
original: 0
opposite: 0
d)
True. There is no counterexample.
155.
Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.
a)
Hypothesis: I will be your best friend
Conclusion: you give me twenty dollars
b)
Hypothesis: you give me twenty dollars
Conclusion: I will be your best friend
c)
Hypothesis: if you have to pay for friends
Conclusion: then you probably should reevaluate your life
d)
Hypothesis: you will not have to pay twenty dollars
Conclusion: if you have lots of friends
156.
The product of two negative numbers is greater than the sum of the two numbers. What is an appropriate counterexample?
a)
-3 and -3
b)
True. There is no counterexample
c)
-1 and -1
d)
4 and 6
157.
When writing the converse we ___________ the hypothesis and conculsion
a)
negate
b)
switch
c)
highlight
d)
switch and negate
158.
When writing the inverse we _____________ the hypothesis and conculsion
a)
negate
b)
switch
c)
switch and negate
d)
keep the same
159.
For the contrapositive we _________ the hypothesis and conclusion
a)
switch
b)
negate
c)
switch and negate
d)
neither
160.
When writing a biconditional statement
a)
both the conditional and the inverse must be true
b)
both the conditional and the converse must be true.
c)
both the inverse and the converse must be true.
d)
noen of these is correct
161.
Biconditional statements are used to
a)
determine if a definition is well-posed.
b)
write well posed questions.
c)
write a well defined statement
d)
all of these
162.
A biconditional can be written using 
a)
if and only if
b)
iff
c)
either of these
d)
neither of these
163.
The fallacy of the converse is
a)
assuming the conclusion is true because the hypothesis is true.
b)
assuming the hypothesis is true because the conclusion is true
c)
assuming the converse is true because the conditional is true
d)
assuming the converse is true because the inverse is true.
164.
p→q
q→r
∴p→r
Which law is modeled?
a)
Law of Syllogism
b)
Law of Detachment
c)
Law of Contrapositive
d)
Law of Shannon
165.
p→q
p
∴q
Which law is modeled?
a)
Law of Syllogism
b)
Law of Detachment
c)
Law of Contrapositive
d)
Law of Shannon
166.
(1) If you have a can opener, you can open a can.
(2) Ahmed has a can opener.
(3) Ahmed can open a can.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?
a)
Law of Syllogism
b)
Law of Detachment
c)
Law of Syllogism
d)
invalid
167.
If an angle is 40⁰, then it is acute.
∠A is 40⁰.
Using the Law of Detachment, what is the logical statement to conclude?
a)
∠A is complementary to ∠B
b)
∠A is acute.
c)
∠A is obtuse.
d)
∠A is 40⁰
168.
(1) Vertical angles are congruent.
(2) If two vertical angles are congruent, then their measures are equal.
(3) If two angles are vertical, then their measures are equal.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?
a)
Law of Syllogism
b)
Law of Detachment
c)
Law of Contrapositive
d)
invalid
169.
(1)  If it is a rabbit, then it has long ears.
(2)  Peter Cottontail has long ears.
(3)  Peter Cottontail is a rabbit.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?
a)
Law of Syllogism
b)
Law of Detachment
c)
Law of Contrapositive
d)
invalid
170.
(1) If a figure is a square, then it is a polygon.
(2) Figure A is a polygon.
(3)  ???????
What belongs in line 3?
a)
Figure A is a polygon.
b)
Figure A is a circle.
c)
Figure A is a square.
d)
invalid; nothing belongs in line 3
171.
A line is defined by ___________________.
a)
2 capital block letters
b)
2 points on the line.
c)
its endpoints
d)
a lowercase script letter
172.
A line is named by ___________________.
a)
2 capital block letters
b)
2 points on the line.
c)
its endpoints
d)
a lowercase script letter
173.
A line is named by ___________________.
a)
2 capital block letters with a line over them
b)
Any 2 points on the line with a line over them.
c)
its endpoints
d)
2 capital block letters 
174.
Name 4 collinear points
a)
HMNO
b)
IKNO
c)
MJOL
d)
HNKI
175.
A line that contains point M.
a)
Line q
b)
Line p
c)
Line r
d)
Line NH
176.
How would you describe points I, L, C?
a)
collinear
b)
non-coplanar
c)
symmetric
d)
coplanar
177.
What is the name of this ray?
a)
Ray AB
b)
Ray BA
c)
Ray ABC
d)
Ray AC
178.
How long is a line?
a)
Depends on the points we are using to define it
b)
Infinite.
c)
No one knows
179.
How many points are on a line segment?
a)
2
b)
4
c)
no one knows
d)
infinite
180.
What is the length of a ray?
a)
infinite
b)
Depends on the ray
c)
Depends on the 2 points defining the ray
d)
no one knows
181.
A postulate is ___________.
a)
a fact.
b)
an accepted statement of fact.
c)
a theory.
d)
a law.
182.
What is a point?
a)
a straight path
b)
an exact location
c)
endless flat surface
d)
lines that cross
183.
Find HG.
a)
8
b)
9
c)
10
d)
11
184.
Let B be between A and C.
a)
28
b)
4
c)
16
d)
12
185.
Find the length of segment EC
a)
33
b)
36
c)
40
d)
35
186.
Solve for x
a)
x = 2
b)
x = 4
c)
x = 6
d)
x = 8
187.
What is m∠ABD
a)
80
b)
120
c)
20
d)
100
188.
Name the property, definition, postulate, or theorem.
a)
Addition Prop
b)
Subtraction Prop
c)
Segment Add Post
d)
def of congruent segments
189.
Find the value of ∠A.
a)
39 degrees
b)
49 degrees
c)
51 degrees
d)
59 degrees
190.
Find the value of ∠A.
a)
25 degrees
b)
30  degrees
c)
35 degrees
d)
90 degrees
191.
Find the value of x.
a)
14
b)
60
c)
35
d)
180
192.
State the angle relationship and find the measure of angle 1
a)
Corresponding
110
b)
Alternate Exterior
110
c)
Corresponding
70
d)
Alternate Exterior
70
193.
State the angle relationship and find the measure of angle 1
a)
Alternate Interior
37
b)
Alternate Interior
143
c)
Corresponding
143
d)
Corresponding
37
194.
Find the missing endpoint  if one endpoint is at (-9, -1) and the midpoint is at (-2, -6).
a)
(5, -11)
b)
(5, -13)
c)
(-5, 11)
d)
(-5, -11)
195.
Find the midpoint of the segment with the endpoints:  (-4, 5) and (7, -9) 
a)
(-1.5, 2)
b)
(5.5, -7)
c)
(-2, 1.5)
d)
(1.5, -2)
196.
Find the y-coordinate of the midpoint of the line
a)
1
b)
2
c)
-2
d)
3
197.
What is the distance between (-5, 3) and (4, -5)
a)
√-145
b)
√145
c)
145
d)
-145
198.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
199.
What is the midpoint between (-4,4) and (5,-1)?
a)
(4,5)
b)
(3,4)
c)
(1/2, 1 1/2)
d)
(7,2)
200.
What is the midpoint between (5,2) and (-4,-3)?
a)
(1/2, -1/2)
b)
(2,4)
c)
(-2,3)
d)
(4,5)
201.
Find the missing endpoint given the midpoint (3,4) and the other endpoint (-1,6)
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
202.
What is the distance between -5 and 3?
a)
8
b)
-2
c)
-8
d)
2
203.
What is the relationship of the angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical
204.
What is the relationship of the Angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
205.
What is the Angle Relationship? 
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
206.
What is the Angle Relationship?
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
207.
What is the angle relationship?
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
208.
What is the Angle Relationship
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side-Interior
209.
Which pair of angles are congruent?
a)
A and C
b)
C and L
c)
B and W
d)
D and W
210.
Which pair of angles add up to 180 degrees?
a)
A and W
b)
C and X
c)
D and X
d)
A and G
211.
What is the value of x?
a)
45
b)
54
c)
126
d)
135
212.
What is the value of x?
a)
27
b)
72
c)
108
d)
153
213.
Which two lines are parallel? 
a)
Lines M and N
b)
Lines N and P
c)
Lines M and P
d)
None
214.
True or False.  Given two parallel lines are cut by a transversal, their same side exterior angles are congruent.
a)
false
b)
true
215.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
216.
What is the measure of x?
a)
122
b)
60
c)
62
d)
cannot be determined
217.
a)
x=29
b)
x=61
c)
x=14
d)
x=20
218.
Which represents slope intercept form?
a)
y = mx + b
b)
y = b + mx
ax+ by = c
c)
x + y = b
d)
xy + b = 0
219.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
220.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
the y-value of the y-intercept
c)
nothing
d)
slope
221.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
3x
222.
What is the y-intercept in the following equation:  y=-4x-5
a)
(-4,0)
b)
(0,-4)
c)
(0,5)
d)
(0,-5)
223.
Determine the slope and y-intercept from the following equation:   2y = 3x + 6
a)
m: 2/3   b:  (0,3) 
b)
m: 3/2   b:  (0,3) 
c)
m:  4  b:  (0,3/2)
d)
m: 1/5   b:  (0,5) 
224.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
225.
y = 3/2x + 2
y = 2/3x + 6
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
226.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
227.
A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
228.
What is the equation of the line?
a)
y = 2
y = 2
b)
x = 2
c)
y = 2x
d)
y = 2x + 3
229.
Which equation is parallel to:
y = 5/7x +2
a)
y = -7/5x +1
b)
y = 7/5x +4
c)
y = -5/7x -3
d)
y = 5/7x +5
230.
Which equation is perpendicular to:
 y = -6x +2
a)
y = 6x +1
b)
y = 1/6x +4
c)
y = -6x +3
d)
y = -1/6x +5
231.
Which two lines are parallel to each other:
1) y=2x + 2
2) y=2x - 3
3) y=-2x +2
a)
1 & 2
b)
2 & 3
c)
1 & 3
d)
None of them
232.
The slope of a line in standard form is
a)
-A/B
b)
-B/A
c)
A/B
d)
B/A
233.
Can parallel lines have the same intercept?
a)
Yes.
b)
No
c)
Sometimes.
234.
When writing an equation of a line we use 
a)
slope intercept form
b)
standard form
c)
point slope form
d)
it doesn't matter
235.
We can prove two lines parallel when corresponding angles are supplementary.
a)
True
b)
False
c)
only if we know one of them measures 90ο
d)
Only on Mondays
236.
An angle that appears straight can be assumed straight.
a)
True 
b)
False
237.
An angle that appears perpendicular can be assumed t be 90ο
a)
True
b)
False
238.
To determine if to segments in a diagram are congruent we can measure them with a ruler.
a)
True
b)
False
239.
If two straight lines appear parallel then we can assume they are parallel.
a)
True
b)
False
240.
This review is EVERYTHING I need to know for the final exam!
a)
True
b)
False
241.
The final exam will be multiple choice.  I will not have to show my work.
a)
True
b)
False 
242.
A great way to review for the geometry final is to redo my tests, test review and formative assessments.
a)
true 
b)
false
243.
If I am in 9B I should also review constructions.  :)
a)
True
b)
False