On One Condition
Reasoning?
Biconditioal statements
Elementary, my dear Watson!
You can't handle the proof!
100
What is the converse of this statement? Original: If an animal is a bird, then it is an eagle
If it is an eagle, then the animal is a bird.
100
What is the next term in this pattern:
1, 1, 2, 3, 5, 8, 13, ....
21
100
What is the definition of Biconditional statement?
A statement that connects a conditional and converse using the words "If and only if"
100
Can you use the law of detachment? If so what can you conclude?
If the car is fast, then the robbers get away.
The robbers get away.
You cannot use the law of detachment.
100
What is generally the first step in writing a proof?
Given
200
What is the inverse of this statement? Original: If an animal is a bird, then it is an eagle
If an animal is not a bird, then it is not an eagle
200
What is the truth value of the following conditional statement?
If x2=16, then x=4
False, x=-4
200
When is a Biconditional statement true?
When both the conditional and converse are both true
200
Can you use the Law of Syllogism? If so, what can you state?
If the car is fast, then the robbers get away.
If the robbers get away, then the cops get fired.
If the car is fast, then the cops get fired.
200
What would be the justification for the step below?
2x-12
x=6
Division Property of Equality
300
What is the contrapositive of this statement?
Original: If he is your father, then you are Luke.
If you are not Luke, then he is not your father.
300
Make a conjecture about this relationship:
The product of two even numbers
The product of 2 even numbers is an even number.
300
What is the difference between a Biconditional statement and a Conditional statement?
A Biconditoional statement has the phrase "if and only if" and a Conditional statement is a logical statement that has two parts(hypothesis and a conclusion).
300
Can you use the law of detachment? If so what can you conclude?
If curling is on television, then I will watch it.
Curling is on the television.
I will watch curling.
300
What is the justification for the statement below?
If x = y, then y = x.
Symmetric Property of Equality
400
What is the notation for the inverse given the statement ?
p->q
~p->~q
400
Indicate whether the following argument is inductive or deductive reasoning.All swans we have seen have been white; therefore the next swan we see will be white. _______
inductive reasoning
400
Write the statement as a Biconditional statement and determine the truth value:
There is no school on Saturday
There is no school if and only if it is Saturday, False
400
Can you use the Law of Syllogism? If so, what can you state?
If the cat is tired, then it will sleep.
If the dog is tired, then it will sleep.
Invalid
400
Is the following statement reflexive, symmetric, or transitive?
______ has longer hair than _____.
Transitive
500
What was the first song encoded using the mp3 format?
Tom's Diner by Suzanne Vega
500
What is the difference between inductive reasoning and deductive reasoning?
Inductive is looking at patterns and deductive is using facts
500
Write the following statement as a biconditional statement. “A prime number has only 1 and itself as factors.”
A number is prime if and only if it has only 1 and itself as factors.
500
If Mike is drinking tea, then it is dinnertime.
If it is lunchtime, then Todd is drinking milk.
If it is dinnertime, then Sue is drinking a soft drink and nothing else.
If Carl is drinking water, then it is lunchtime.
Mike is drinking tea.
Is Sue drinking water?
yes
500
Prove the Right Angle Congruence Theorem.
Given: A and B are right angles
Prove:
angleA~=angleB
