24 questions
1) Given the following conditional statement, what is the hypothesis?
"If I can fly, then I am a bird"
If I can fly, then I am a bird
I am a bird
I can fly
None of the above
2) Given: p= I can't dance and q=I will not go to the dance
What is the conclusion?
If I can't dance, then I will not go to the dance
I can't dance
I will not go to the dance
None of the above
3) Given the conditional statement:
"If Ms. Simmons is at a BBQ, then she will have a hamburger."
What is the converse to the conditional statement?
If Ms. Simmons is not a BBQ, then she will not have a hamburger.
If Ms. Simmons does not have a hamburger, then she is not at a BBQ.
If Ms. Simmons is not a a BBQ, then she will have a hamburger.
If Ms. Simmons has a hamburger, then she is at a BBQ.
4) Given the conditional statement:
"If Ms. Simmons is at a BBQ, then she will have a hamburger."
What is the inverse to the conditional statement?
If Ms. Simmons is not a BBQ, then she will not have a hamburger.
If Ms. Simmons does not have a hamburger, then she is not at a BBQ.
If Ms. Simmons is not a a BBQ, then she will have a hamburger.
If Ms. Simmons has a hamburger, then she is at a BBQ.
5) Given the following conditional statement: "If Sally is at the park, then she will fall off the swing"
What is the contrapositive?
If Sally falls off the swing, then she is at the park.
If sally does not fall off the swing, then Sally is not at the park.
If Sally is not at the park, then she will not fall off the swing.
If Sally does not fall off the swing, then Sally is at the park.
If a represents "Brent works this summer" and b represents "Brent takes a vacation" which symbols best represent the statement "If Brent works this summer then he will not take a vacation."
7) If a represents "Two angles are vertical angles" and b represents "The angles are congruent" which symbols best represent the statement "If two angles are not congruent, then the angles are not vertical angles."
8) 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.
Converse
Inverse
Contrapositive
Negation
9) Which statement is the converse of the given statement?
If you make an insurance claim, then your rates will go up.
If your insurance rates do not go up , then you have not maid a claim.
If your insurance rates go up, then you have made an insurance claim.
If you do not make an insurance claim, then your rates will not go up.
If you make an insurance claim, then your rates will not go up.
10) 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 not a musician, then the person is not a banjo player.
If a person is not a banjo player, then the person is not a musician.
If a person is not a banjo player, then the person is a musician.
If a person is a musician, then the person is a banjo player.
How are the two statements given below related to each other?
X: If you run for 10 minutes, then you will raise your heart rate.
Z: If you do not run for 10 minutes, then you will not raise your heart rate.
Z is the contrapositive of X.
Z is the inverse of X.
Z is the converse of X.
Z is the retrograde of X.
12) What is the inverse of:
13) What is the converse of the following:
14) What is the contrapositive of the following:
Given, "If angles are congruent, then the measures of the angles are equal." Identify the hypothesis.
Angle are congruent
The measures of the angles are equal
Angles are not congruent
The measure of the angles are not equal
16) 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.
Converse
Inverse
Contrapositive
None of the above
17) Statement 1: If John does his homework, then he will pass the test.
Statement 2: If John passes the test, then he does his homework.
If Statement 1 is the conditional statement, then statement 2 is the -
Converse
Inverse
Contrapositive
Conditional
18) Given the following contrapositive statement:
“ If I do not have my car keys, then I am not driving my truck.”
What is the conditional statement?
If I have my car keys, then I am driving my truck.
If I am not driving my truck, then I do not have my car keys
If do not have my car keys, then I am not driving my truck
If I am driving my truck, then I have my car keys.
19) Given: v: I am hot. & w: I went swimming.
What is the symbolic form of: “If I am hot, then I will not go swimming.”
20) Given the following conditional statement:
"If I live in Norfolk, then I live in VA"
What is the contrapositive of the conditional statement?
If I don't live in Norfolk, then I don't live in VA
If I live in Va, Then I live in Norfolk
If I don't live in VA, then I don't live in Norfolk
If I live in Norfolk, then I live in TN
21) How is statement B related to statement A?
Statement A: If the two angles are not vertical, then the angles are not congruent.
Statement B: If two angles are vertical, then the angles are congruent.
Converse
Inverse
Contrapositive
Conditional
22) Let p = You eat an apple.
Let q = You eat fruit.
Argument: If you do not eat an apple, then you do not eat fruit.
Which of the following is the symbolic representation of the given argument?
23) Which represents the conclusion of the statement: "If I am tired, then I should go to bed"
I am tired
I am not tired
I should go to bed
I should not go to bed
24) What does the symbol represent?
and
then
or
not