Chap. 2 Vocabulary Flashcards
The _____ is the part q following then in a conditional statement.
conclusion
The _____ exchanges the hypothesis and the conclusion of a conditional statement.
converse
_____ _____ is reasoning based on patterns you observe.
inductive reasoning
____ is a conclusion you reach using inductive reasoning.
conjecture
A _____ is an if-then statement.
conditional
_____ _____ have the same truth value.
equivalent statements
A _____ is an example that shows that a conjecture is incorrect.
counterexample
The _____ is the part p following if in a conditional statement.
hypothesis
The _____ negates both the hypothesis and the conclusion of the converse of a conditional statement.
contrapositive
The _____ _____ of a conditional is either true or false.
truth value
The _____ of a statement p is the opposite of the statement.
negation
A _____ is a single true statement that combines a true conditional and its true converse.
biconditional
The _____ negates both the hypothesis and the conclusion of the conditional statement.
inverse
_____ _____ (sometimes called logical reasoning) is the process of reasoning logically from given statements or facts to a conclusion.
deductive reasoning
A _____ is a conjecture or statement that you prove true
theorem
If a=b and b=c, then a=c is the _____ _____
transitive property
A _____ is a convincing argument that uses deductive reasoning, logically showing why a conjecture is true.
proof
The ____ _____ _____ allows you to state a conclusion from two true conditional statements when the conclusion of one statement is the hypothesis of the other statement.
law of syllogism
If a=b, then b=a is the _____ _____.
symmetric property
A _____ _____ is written as sentences in a paragraph, using convincing arguments and deductive reasoning.
paragraph proof
A _____ _____ lists each statement on the left and the justification, or the reason for each statement, is on the right.
two-column proof
a=a is the _____ _____.
reflexive property
The _____ _____ _____ states that if the hypothesis of a true conditional is true, then the conclusion is true.
law of detachment
