Truth Tables
Conditional Statements
Conv., Inv., Contra.
Bicond./Counterexample
Syllogism/Detachment
100
What is the following symbol?
^^^
"And"
100
The hypothesis follows the word ______.
IF
100
Write the Inverse:
If the weather is nice, then I will wash the car.
If the weather is not nice, then I will not wash the car.
100
A counterexample proves a statement _________.
FALSE
100
Which law is demonstrated in the following situation:
If you go to work, then you get paid. If you get paid, then you can pay rent.: If you go to work, then you can pay rent.
Law of Syllogism
200
Give the symbolic version of the following:
a: Vertical angles are congruent.
b: Complementary angles add up to 90°.
Vertical angles are congruent and complementary angles add up to 90°
a^^b
200
The conclusion follows the word ________.
THEN
200
Write the converse:
If you follow your dreams, then your dreams come true.
If your dreams come true, then you followed your dreams.
200
What phrase is special to biconditionals?
IF AND ONLY IF
200
Give the following conclusion:
If you yell at your parents, then you get grounded.
You yelled at your parents.
You got grounded.
300
If p is false, and q is true. Determine the truth value of the following statement:
pvvq
True.
300
What is the conclusion?:
If I work, then I get paid.
I get paid.
300
Write the contrapositive:
If an animal is a horse, then it has four legs.
If an animal does not have four legs, then it is not a horse.
300
Give a counterexample:
If a person is a superhero, then they have powers.
Batman, Black Widow, Hawkeye, etc.
300
Give the conclusion of the following statement:
If the sun is shining, then it is hot outside.
It is hot outside.
Invalid/No Conclusion
400
Complete the following column in the truth table:
T, F, F, F
400
What is the hypothesis?:
If I use the midpoint formula, then my answer is a coordinate pair.
I use the midpoint formula.
400
Write the inverse:
If two angles are supplementary, then their sum is 180 degrees.
If two angles are not supplementary, then their sum is not 180 degrees.
400
Give a counterexample:
If there are two lines on graph, then they will eventually intersect.
Parallel Lines
400
Rewrite the following statement using the Law of Syllogism:
If I don't go to the store, then I won't have food. If I don't have food, then I will be hungry.If I don't go to the store, then I will be hungry.
500
Complete the both column in the truth table:
notP
:F, F, T, T
QvvP
:T, F, T, T
500
Write the if-then statement:
A line contains at least 2 points.
If a figure is a line, then it has at least 2 points.
If a figure has at least 2 points, then it is a line.
500
Write the contrapositive:
If you are a good student, then you are not on your phone.
If you are on your phone, then you are not a good student.
500
The following statement's converse is true, write the biconditional:
If an angle is 180 degrees, then it is a straight angle.
An angle is 180 degrees if and only if it is a straight angle.
500
Rewrite the following statement using the Law of Syllogism:
If Mrs. Long is mean to Ms. Buchanan, then Ms. Buchanan will cry. If Ms. Buchanan cries, then Ms. Hardin will beat up Mrs. Long.
If Mrs. Long is mean to Ms. Buchanan, then Ms. Hardin will beat up Mrs. Long.