2.1-2.6 Vocab Flashcards
A conclusion you reach using inductive reasoning
Conjecture
An example that shows a conjecture is incorrect
Counter example
An if-then statement
Conditional
The part p following if
Hypothesis
The part q following then
Conclusion
Tells if a conditional is true or false
Truth value
The opposite of the statement (add not)
Negation
The statement obtained by reversing the hypothesis and conclusion of a conditional
Converse
Negate both the hypothesis and conclusion of the conditional
Inverse
Negate both the hypothesis and the conclusion of the converse
Contrapositive
Have the same truth values
Equivalent statements
A single true statement that combines a true conditional and it’s true converse
Biconditional
The process of reasoning logically from given statements or facts to a conclusion
Deductive reasoning
If the hypothesis of a true conditional is true then the conclusion is true
Law of detachment
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
A=a
Reflexive property
If a=b the b=a
Symmetric property
If a=b and b=c then a=c
Transitive property
A convincing argument that uses deductive reasoning
Proof
Two-column proof
Lists each statement on the left and the reason for each statement is on the right
A conjecture or statement that you prove true
Theorem
Proof that is written as a sentence in a paragraph
Paragraph proof
The reasoning based on patterns you observe
Inductive reasoning
