WorksheetsGeometry Unit 2 Review
Total questions: 60
Worksheet time: 5hrs 56mins
Name
Class
Date
1.
What is the reason?
a)
Definition of Complementary
b)
Definition of 180
c)
Definition of supplementary
d)
Angle Addition
2.
What is the reason?
a)
Definition of equal
b)
Definition of Angle
c)
Angle Addition
d)
Definition of congruence
3.
What is the reason?
a)
Definition of Right angle
b)
Definition of 90
c)
Definition of supplementary
d)
Definition of complementary
4.
What is the reason?
a)
Definition of midpoint
b)
Definition of congruence
c)
Definition of segment
d)
Definition of bisects
5.
What is the justification?
a)
Symmetric Prop.
b)
Angle addition postulate
c)
Transitive Prop. of Equality
d)
Transitive Prop. of Congruence
6.
Which property justifies the next step?
a)
Definition of linear pair
b)
Definition of supplementary angles
c)
Congruent supplements thm
d)
Linear pair postulate
7.
Which property justifies the next step?
a)
Segment addition postulate
b)
Definition of an angle bisector
c)
Angle addition postulate
d)
Definition of right angles
8.
What is the reason?
a)
Transitive
b)
Substitution
c)
Middle Man
d)
Replacing
9.
What is the reason?
a)
Angle Addition
b)
Segment Addition
c)
Definition of Congruence
d)
Definition of Between
10.
If <M = <L then <L = <M
a)
Transitive POE
b)
Substitution POE
c)
Symmetric POE
d)
Reflexive POE
11.
AB = AB
a)
Reflexive POE
b)
Transitive POE
c)
Symmetric POE
d)
Distributive POE
12.
If X = Y, then X + 5 = Y + 5
a)
Addition POE
b)
Subtraction POE
c)
Reflexive POE
d)
Transitive POE
13.
If l = a and a = k and k = e then l = e
a)
Addition POE
b)
Symmetric POE
c)
Reflexive POE
d)
Transitive POE
14.
If M is the midpoint of AB, then AM = MB
a)
Addition POE
b)
Def. of Midpoint
c)
Reflexive POE
d)
Symmetric
15.
If A = B, then 8A = 8B
a)
Multiplication POE
b)
Division POE
c)
Reflexive POE
d)
Addition POE
16.
If <1 and <2 are complementary, then m<1 + m<2 = 90
a)
Addition POE
b)
Subtraction POE
c)
Def of right angle
d)
Def of Complementary Angles
17.
IF <ABC ≅ <DEF, then m<ABC = m<DEF
a)
Reflexive POE
b)
Addition POE
c)
Def. of congruent angles
d)
Def. of right angles
18.
What is always the 1st reason of a proof?
a)
Prove
b)
Given
c)
Reason
d)
Statement
19.
If X is between R & T on a line,
then RX + XT = RT
then RX + XT = RT
a)
Addition POE
b)
Substitution POE
c)
Angle Addition Post.
d)
Segment Addition Post.
20.
What is reason 1?
a)
Subtraction Property of Equality
b)
Transitive Property of Equality
c)
Given
d)
Prove
21.
What is reason 2?
a)
Given
b)
Addition Property of Equality
c)
Subtraction Property of Equality
d)
Substitution Property of Equality
22.
What is reason 3?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
23.
What is reason 4?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
24.
What is reason 5?
a)
Transitive Property
b)
Reflexive Property
c)
Symmetric Property
d)
Prove
25.
What is reason 1?
a)
Symmetric Property of Equality
b)
Given
c)
Prove
d)
Subtraction Property of Equality
26.
What is reason 2?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
27.
What is reason 3?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
28.
The angle relationship shown is -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
angle bisector
29.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
30.
If m∠1 = 30°, then m∠3 =
a)
30°
b)
60°
c)
150°
d)
undetermined
31.
If m∠AOB = 32° and m∠BOC = 17°, find m∠AOC.
a)
15°
b)
49°
c)
31°
d)
90°
32.
If m∠XOZ = 74°, find m∠XOY.
a)
37°
b)
74°
c)
90°
d)
148°
33.
Solve
a)
50°
b)
58°
c)
115°
d)
226°
34.
Original Statement:
If I am hungry then I will eat a whole pizza.
New Statement:
If I am not hungry then I will eat a whole pizza.
If I am hungry then I will eat a whole pizza.
New Statement:
If I am not hungry then I will eat a whole pizza.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
None of the above
35.
Write 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)
cellular phone
c)
computer mouse
d)
keyboard
36.
Using the statement:
If it is Friday then I will get paid.
Write the conclusion
If it is Friday then I will get paid.
Write the conclusion
a)
If it is Friday
b)
it is Friday
c)
then I will get paid
d)
I will get paid
37.
Which statement is the converse of the given statement?
If you make an insurance claim, then your rates will go up.
If you make an insurance claim, then your rates will go up.
a)
If your insurance rates do not go up , then you have not maid a claim.
b)
If you do not make an insurance claim, then your rates will not go up.
c)
If your insurance rates go up, then you have made an insurance claim.
d)
If you make an insurance claim, then your rates will not go up.
38.
Which statement is the contrapositive of the given statement?
If a person is a banjo player, then the person is a musician.
If a person is a banjo player, then the person is a musician.
a)
If a person is not a musician, then the person is not a banjo player.
b)
If a person is not a banjo player, then the person is a musician.
c)
If a person is not a banjo player, then the person is not a musician.
d)
If a person is a musician, then the person is a banjo player.
39.
For the inverse we _________ the hypothesis and conclusion
a)
switch
b)
negate
c)
switch and negate
40.
For the contrapositive we _________ the hypothesis and conclusion
a)
switch
b)
negate
c)
switch and negate
41.
This symbol, ↔, means?
a)
and
b)
or
c)
if and only if
d)
implies
42.
What is this?
a)
Conditional Statement
b)
Inverse
c)
Converse
d)
THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!
43.
Let V represent Vehicles. Let M represent motorized vehicles, and let A represent automobiles.
Which is not a valid conclusion?
Which is not a valid conclusion?
a)
Not all motorized vehicles are automobiles.
b)
Not all automobiles are motorized vehicles
c)
Some motorized vehicles are not automobiles.
d)
Automobiles are motorized vehicles.
44.
What does this mean?
a)
Conditional Statement
b)
Inverse Statement
c)
Converse Statement
d)
Contrapositive Statement
45.
Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.
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.
46.
(1) If a figure is a square, then it is a polygon.
(2) Figure A is a polygon.
(3) ???????
What belongs in line 3 (what can you conclude)?
(2) Figure A is a polygon.
(3) ???????
What belongs in line 3 (what can you conclude)?
a)
Figure A is a polygon.
b)
Figure A is a circle.
c)
Figure A is a square.
d)
no conclusion; nothing belongs in line 3
47.
(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, Inductive, 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, Inductive, or is it invalid?
a)
Law of Syllogism
b)
Law of Detachment
c)
Inductive
d)
invalid no conclusion
48.
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
49.
Which is the correct if-then statement for the statement.
Two angles that form a linear pair are supplementary.
Two angles that form a linear pair are supplementary.
a)
If two angles are supplementary, then they form a linear pair.
b)
If two angles form a linear pair, then they are supplementary.
50.
Using the Law of Detachment, what can you conclude?
If you earn more than $14, then you can buy a new CD.
You earn $15.
If you earn more than $14, then you can buy a new CD.
You earn $15.
a)
you can buy a new CD
b)
you cannot buy a new CD
c)
Detachment
d)
you earn more than $14
51.
Which law of logic is this:
If my mom stays home, then she won't buy shoes.
If she doesn't buy shoes, then she'll wear an old pair.
Therefore if my mom stays home, then she will wear an old pair.
If my mom stays home, then she won't buy shoes.
If she doesn't buy shoes, then she'll wear an old pair.
Therefore if my mom stays home, then she will wear an old pair.
a)
Contrapositive
b)
Converse
c)
Detachment
d)
Syllogism
52.
If a mineral is gypsum, it has a hardness of 2.
If a mineral has a hardness of 2, it can be scratched with a fingernail.
Using the Law of Syllogism, what logically comes next?
If a mineral has a hardness of 2, it can be scratched with a fingernail.
Using the Law of Syllogism, what logically comes next?
a)
If a mineral can be scratched with a fingernail, then it is gypsum.
b)
If a mineral is gypsum, it can be scratched with a fingernail.
c)
Detachment
d)
It can be scratched with a fingernail.
53.
Determine whether the stated conclusion is valid.
Given: If the sum of the measures of two angles is 180, then the angles are supplementary.
∠A and ∠B are supplementary.
Conclusion: The sum of the measure of two angles is 180
Given: If the sum of the measures of two angles is 180, then the angles are supplementary.
∠A and ∠B are supplementary.
Conclusion: The sum of the measure of two angles is 180
a)
The sum of the measures of two angles is 180
b)
Invalid/ No conclusion
c)
Detachment
d)
Valid
54.
Determine whether the stated conclusion is valid.
Given: If a point is the midpoint of a segment, then it divides the segment into two congruent segments.
R is the midpoint of QS.
Conclusion: QR=RS
Given: If a point is the midpoint of a segment, then it divides the segment into two congruent segments.
R is the midpoint of QS.
Conclusion: QR=RS
a)
Valid
b)
R is the midpoint
c)
Detachment
d)
A point is the midpoint of a segment.
55.
Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.
a)
Invalid
b)
Valid
c)
Sammy is a Great Dane
d)
Sammy is really a cat.
56.
Draw a conclusion from the statement.
If you are at least 25 year old, then you can rent a car.
You can rent a car
If you are at least 25 year old, then you can rent a car.
You can rent a car
a)
You are at least 25 years old
b)
You can rent a car
c)
You can go on a road trip
d)
Invalid/ No conclusion
57.
Draw a conclusion from the statement.
If you go fishing, then you will need to bring your fishing rod.
You go fishing.
If you go fishing, then you will need to bring your fishing rod.
You go fishing.
a)
You will need to bring your fishing rod.
b)
Invalid/ No conclusion
c)
You are a boring person.
d)
You are going to catch a fish.
58.
Draw a conclusion from the statement.
If Jack goes to school, then it is Monday.
Jack doesn't go to school.
If Jack goes to school, then it is Monday.
Jack doesn't go to school.
a)
Jack skipped school.
b)
It isn't Monday.
c)
It's Saturday.
d)
Invalid/ No conclusion
59.
Conditional: If it does not rain today, then we will have practice.
What is this statement called: If it rains today, then we will not have practice.
What is this statement called: If it rains today, then we will not have practice.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
Biconditional
60.
p→q
What is the contrapositive?
What is the contrapositive?
a)
q→p
b)
∼p→∼q
c)
∼q→∼p
d)
p→∼q
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