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WorksheetsGeometry Final Exam Review
Total questions: 107
Worksheet time: 2hrs 25mins
Name
Class
Date
1.
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?
2.
A conditional statement is a(n):
a)
"if _________, then _______ statement"
b)
statement that is always true
c)
biconditional statement
d)
counteerexample
3.
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.
4.
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.
5.
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
6.
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.
7.
To write the converse you negate both the hypothesis and the conclusion.
a)
False
b)
True
8.
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.
9.
Which is a counterexample for the following conditional:
If an electronic device has a screen then it is a television.
If an electronic device has a screen then it is a television.
a)
television
b)
cell phone
c)
computer mouse
d)
keyboard
10.
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.
11.
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.
12.
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.
13.
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.
14.
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.
15.
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."
"If a number is divisible by 6, then it is divisible by 3."
a)
True
b)
9
c)
18.
d)
21
16.
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."
"If a number is divisible by 3, then it is divisible by 6."
a)
True
b)
9
c)
18
d)
36
17.
If an animal is furry, then it is a bunny. What would be an appropriate counterexample?
a)
goldfish
b)
frog
c)
elephant
d)
cat
18.
The opposite of any number is smaller than the original number. What is an appropriate counterexample?
a)
original: -1
opposite: 1
opposite: 1
b)
original: 2
opposite: -2
opposite: -2
c)
original: 0
opposite: 0
opposite: 0
d)
True. There is no counterexample.
19.
Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.
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
Conclusion: you give me twenty dollars
b)
Hypothesis: you give me twenty dollars
Conclusion: I will be your best friend
Conclusion: I will be your best friend
c)
Hypothesis: if you have to pay for friends
Conclusion: then you probably should reevaluate your life
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
Conclusion: if you have lots of friends
20.
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
21.
When writing the converse we ___________ the hypothesis and conculsion
a)
negate
b)
switch
c)
highlight
d)
switch and negate
22.
When writing the inverse we _____________ the hypothesis and conculsion
a)
negate
b)
switch
c)
switch and negate
d)
keep the same
23.
For the contrapositive we _________ the hypothesis and conclusion
a)
switch
b)
negate
c)
switch and negate
d)
neither
24.
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
25.
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
26.
A biconditional can be written using
a)
if and only if
b)
iff
c)
either of these
d)
neither of these
27.
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.
28.
p→q
q→r
∴p→r
Which law is modeled?
q→r
∴p→r
Which law is modeled?
a)
Law of Syllogism
b)
Law of Detachment
c)
Law of Contrapositive
d)
Law of Shannon
29.
p→q
p
∴q
Which law is modeled?
p
∴q
Which law is modeled?
a)
Law of Syllogism
b)
Law of Detachment
c)
Law of Contrapositive
d)
Law of Shannon
30.
(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?
(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
31.
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 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
32.
(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?
(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
33.
(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?
(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
34.
(1) If a figure is a square, then it is a polygon.
(2) Figure A is a polygon.
(3) ???????
What belongs in line 3?
(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
35.
A line is defined by ___________________.
a)
2 capital block letters
b)
2 points on the line.
c)
its endpoints
d)
a lowercase script letter
36.
A line is named by ___________________.
a)
2 capital block letters
b)
2 points on the line.
c)
its endpoints
d)
a lowercase script letter
37.
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
38.
Name 4 collinear points
a)
HMNO
b)
IKNO
c)
MJOL
d)
HNKI
39.
A line that contains point M.
a)
Line q
b)
Line p
c)
Line r
d)
Line NH
40.
How would you describe points I, L, C?
a)
collinear
b)
non-coplanar
c)
symmetric
d)
coplanar
41.
What is the name of this ray?
a)
Ray AB
b)
Ray BA
c)
Ray ABC
d)
Ray AC
42.
How long is a line?
a)
Depends on the points we are using to define it
b)
Infinite.
c)
No one knows
43.
How many points are on a line segment?
a)
2
b)
4
c)
no one knows
d)
infinite
44.
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
45.
A postulate is ___________.
a)
a fact.
b)
an accepted statement of fact.
c)
a theory.
d)
a law.
46.
What is a point?
a)
a straight path
b)
an exact location
c)
endless flat surface
d)
lines that cross
47.
Find HG.
a)
8
b)
9
c)
10
d)
11
48.
Let B be between A and C.
a)
28
b)
4
c)
16
d)
12
49.
Find the length of segment EC
a)
33
b)
36
c)
40
d)
35
50.
Solve for x
a)
x = 2
b)
x = 4
c)
x = 6
d)
x = 8
51.
What is m∠ABD
a)
80
b)
120
c)
20
d)
100
52.
Name the property, definition, postulate, or theorem.
a)
Addition Prop
b)
Subtraction Prop
c)
Segment Add Post
d)
def of congruent segments
53.
Find the value of ∠A.
a)
39 degrees
b)
49 degrees
c)
51 degrees
d)
59 degrees
54.
Find the value of ∠A.
a)
25 degrees
b)
30 degrees
c)
35 degrees
d)
90 degrees
55.
Find the value of x.
a)
14
b)
60
c)
35
d)
180
56.
State the angle relationship and find the measure of angle 1
a)
Corresponding
110
110
b)
Alternate Exterior
110
110
c)
Corresponding
70
70
d)
Alternate Exterior
70
70
57.
State the angle relationship and find the measure of angle 1
a)
Alternate Interior
37
37
b)
Alternate Interior
143
143
c)
Corresponding
143
143
d)
Corresponding
37
37
58.
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)
59.
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)
60.
Find the y-coordinate of the midpoint of the line
a)
1
b)
2
c)
-2
d)
3
61.
What is the distance between (-5, 3) and (4, -5)
a)
√-145
b)
√145
c)
145
d)
-145
62.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
63.
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)
64.
What is the midpoint between (5,2) and (-4,-3)?
a)
(1/2, -1/2)
b)
(2,4)
c)
(-2,3)
d)
(4,5)
65.
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)
66.
What is the distance between -5 and 3?
a)
8
b)
-2
c)
-8
d)
2
67.
What is the relationship of the angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical
68.
What is the relationship of the Angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
69.
What is the Angle Relationship?
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
70.
What is the Angle Relationship?
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
71.
What is the angle relationship?
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
72.
What is the Angle Relationship
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side-Interior
73.
Which pair of angles are congruent?
a)
A and C
b)
C and L
c)
B and W
d)
D and W
74.
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
75.
What is the value of x?
a)
45
b)
54
c)
126
d)
135
76.
What is the value of x?
a)
27
b)
72
c)
108
d)
153
77.
Which two lines are parallel?
a)
Lines M and N
b)
Lines N and P
c)
Lines M and P
d)
None
78.
True or False. Given two parallel lines are cut by a transversal, their same side exterior angles are congruent.
a)
false
b)
true
79.
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
80.
What is the measure of x?
a)
122
b)
60
c)
62
d)
cannot be determined
81.
a)
x=29
b)
x=61
c)
x=14
d)
x=20
82.
Which represents slope intercept form?
a)
y = mx + b
b)
y = b + mx
ax+ by = c
ax+ by = c
c)
x + y = b
d)
xy + b = 0
83.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
84.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
the y-value of the y-intercept
c)
nothing
d)
slope
85.
What is the slope in the equation: y=4x+3
a)
3
b)
4x
c)
4
d)
3x
86.
What is the y-intercept in the following equation: y=-4x-5
a)
(-4,0)
b)
(0,-4)
c)
(0,5)
d)
(0,-5)
87.
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)
88.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
89.
y = 3/2x + 2
y = 2/3x + 6
These lines are...
y = 2/3x + 6
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
90.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
91.
A line is perpendicular to y = 2x - 7.
What is the slope of this line?
What is the slope of this line?
a)
-2
b)
1/2
c)
-1/2
d)
2
92.
What is the equation of the line?
a)
y = 2
y = 2
y = 2
b)
x = 2
c)
y = 2x
d)
y = 2x + 3
93.
Which equation is parallel to:
y = 5/7x +2
y = 5/7x +2
a)
y = -7/5x +1
b)
y = 7/5x +4
c)
y = -5/7x -3
d)
y = 5/7x +5
94.
Which equation is perpendicular to:
y = -6x +2
y = -6x +2
a)
y = 6x +1
b)
y = 1/6x +4
c)
y = -6x +3
d)
y = -1/6x +5
95.
Which two lines are parallel to each other:
1) y=2x + 2
2) y=2x - 3
3) y=-2x +2
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
96.
The slope of a line in standard form is
a)
-A/B
b)
-B/A
c)
A/B
d)
B/A
97.
Can parallel lines have the same intercept?
a)
Yes.
b)
No
c)
Sometimes.
98.
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
99.
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
100.
An angle that appears straight can be assumed straight.
a)
True
b)
False
101.
An angle that appears perpendicular can be assumed t be 90ο
a)
True
b)
False
102.
To determine if to segments in a diagram are congruent we can measure them with a ruler.
a)
True
b)
False
103.
If two straight lines appear parallel then we can assume they are parallel.
a)
True
b)
False
104.
This review is EVERYTHING I need to know for the final exam!
a)
True
b)
False
105.
The final exam will be multiple choice. I will not have to show my work.
a)
True
b)
False
106.
A great way to review for the geometry final is to redo my tests, test review and formative assessments.
a)
true
b)
false
107.
If I am in 9B I should also review constructions. :)
a)
True
b)
False
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