WorksheetsUnit 2 Assignment
Total questions: 35
Worksheet time: 9hrs 45mins
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.
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.
3.
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.
4.
What is this mean?
a)
Conditional Statement
b)
Converse
c)
Inverse
d)
Contrapositive
5.
What does this mean?
a)
Conditional Statement
b)
Inverse Statement
c)
Converse Statement
d)
Contrapositive Statement
6.
What is this?
a)
Conditional Statement
b)
Inverse
c)
Converse
d)
THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!
7.
What is the conclusion to this?
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
8.
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.
9.
To write the converse you negate both the hypothesis and the conclusion.
a)
False
b)
True
10.
Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.
What is this statement: If the reception is at the country club, then Maria will be getting married.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
Negation
11.
Is this statement true?
a)
Yes
b)
You can get another animal. Its true!
c)
False. you can get a cat.
d)
I don't like animals
12.
What is the conclusion to the statement?
a)
You like fried chicken
b)
You only like fried chicken from KFC
c)
You like KFC
d)
You hate KFC
13.
What is one counterexample to prove this false?
a)
There are no counterexamples. It's true
b)
False. Clarkson isn't a real teacher.
c)
True: Clarkson isn't your teacher.
d)
Clarkson makes jokes about Pokeman and they're never funny
14.
What is the hypothesis of this conditional?
a)
Sally goes to the park.
b)
Sally will fall off the swing.
c)
Parks don't have swings that Sally goes to.
d)
If Sally falls off the swing, she goes to the park.
15.
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.
16.
What is the hypothesis to this statement?
a)
I've done my work today.
b)
I write a conditional statement
c)
I do not write a conditional statement
d)
What is a hypothesis?
17.
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.
18.
What is the converse to this?
a)
If you are unhealthy, then you eat donuts
b)
If you're not unhealthy, then you don't eat donuts
c)
If you don't eat donuts, you are not unhealthy
d)
I like donuts.
19.
What is the inverse to this?
a)
If Lucas is not fat, then he is not lazy.
b)
If Lucas is not lazy, then he is not fat.
c)
If Lucas is fat, then he is lazy.
d)
Lucas is not fat.
20.
What is the contrapositive?
a)
If Grace is not tired, then she does not sleep.
b)
If Grace does not sleep, then she is not tired.
c)
If Grace sleeps, then she is tired.
d)
Grace never sleeps anyways. So its all moot.
21.
Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy
a)
You have more energy
b)
If you exercise regularly, then you have more energy
c)
You have a healthy body
d)
If you do not have a healthy body, then you do not exercise regularly
22.
Which law of logic is this:
If I buy a dress, then I won't get chips.
I bought a dress.
Therefore, I won't get chips.
a)
Law of Detachment
b)
Law of Contrapositive
c)
Law of Syllogism
d)
Law of Biconditional
23.
Using the Laws of Logic, what is the conclusion based on the statements given:
If a plane flies to China, then its a long flight.
Sarah bought a ticket to China.
a)
Sarah will get stuck in the security line.
b)
Sarah will have a long flight.
c)
Sarah will need to bring a neck pillow and headphones.
d)
Sarah will get stuck with a middle seat on the plane.
e)
No Conclusion
24.
Draw a conclusion from the statement.
If a parasite lives in or on a host organism, then it harms its host.
A virus is a parasite.
If a parasite lives in or on a host organism, then it harms its host.
A virus is a parasite.
a)
It will harm the host.
b)
I have a cold.
c)
It lives in or on a host
d)
Invalid
25.
Which law of logic is this?
If I clean the bathroom, then I don't have to do the dishes.
I cleaned the bathroom.
Therefore, I don't have to do the dishes.
a)
Law of Detachment
b)
Law of Syllogism
c)
Law of Contrapositive
d)
None
26.
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
27.
Using the statements:
If it is Friday, then I will get paid.
It is Friday.
Write the conclusion.
If it is Friday, then I will get paid.
It is Friday.
Write the conclusion.
a)
It is not Friday
b)
It is Friday
c)
I will not get paid
d)
I will get paid
28.
Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, then...
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, then...
a)
Look out for the snowplows while driving to school.
b)
The big test will not be given today.
c)
The roads will be hard to drive on.
d)
You should call the school to see if school is canceled.
29.
Which is a valid conclusion from these statements?
If a quadrilateral is a rhombus, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite angles are congruent.
If a quadrilateral is a rhombus, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite angles are congruent.
a)
Opposite angles of a quadrilateral are congruent
b)
Opposite angles of a rhombus are congruent
c)
Every quadrilateral is a rhombus
d)
Every parallelogram is a rhombus
30.
Which statement is a valid conclusion based on the argument?
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles.
The polygon is a regular pentagon.
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles.
The polygon is a regular pentagon.
a)
Therefore, the polygon is a rectangle.
b)
Therefore, the polygon is a regular quadrilateral.
c)
Therefore, the polygon has exactly five congruent angles.
d)
Therefore, the polygon has congruent sides.
31.
(1) If you drive safely, then the life you save may be your own.
(2) AJ drives safely.
(3) The life AJ saves may be his own.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?
(2) AJ drives safely.
(3) The life AJ saves may be his own.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?
a)
Law of Detachment
b)
Law of Syllogism
c)
Law of Contrapositive
d)
invalid
32.
(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
33.
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
34.
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
35.
Use Law of Syllogism to make a conclusion.
If a number is divisible by 10, then it is divisible by 2. If a number is divisible by 2, then it is even.
If a number is divisible by 10, then it is divisible by 2. If a number is divisible by 2, then it is even.
a)
If a number is divisible by 10, then it is even,
b)
If a number is even, then it is divisible by 10.
c)
If a number is divisible by 2, then it is even.
d)
If a number is even, then it is divisible by 2.
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