Geometry Logic Vocabulary Terms Flashcards
The process of reasoning that a rule or statement is true because specific cases are true. Often uses patterns.
Inductive Reasoning
The process of using logic to prove a conclusion from given statements.
Deductive reasoning
A statement that is believed to be true. An educated conclusion.
Conjecture
An example that proves that a conjecture or statement is false.
Counterexample
A statement that can be written in the form “if p, then q.” where is the hypothesis and q is the conclusion.
Conditional Statement
The part of a conditional statement following the word if.
Hypothesis
The part of a conditional statement following the word then.
Conclusion
A statement can be true or false.
Truth value
P is “not p” written ~p
Negation
The statement formed by exchanging the hypothesis and conclusion of a conditional statement.
Converse
The statement formed by negating the hypothesis and conclusion of a conditional statement.
Inverse
The statement formed by both exchanging and negating the hypothesis and conclusion of a conditional statement.
Contrapositive
Statements that have the same truth value
Logical equivalent statements
A statement that can be written in the form “p if and only if q”
Biconditional statement
A statement that describes a mathematical object and can be written as a true biconditional statement.
Definition
