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Geometry Vocab Chapter 2!
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Terms in this set (33)
Inductive Reasoning
Reasoning that uses a number of specific examples to arrive at a conclusion
Conjecture
A concluding statement reached using inductive reasoning
counterexample
A false example of a conjecture
Statement
A sentence that is either true or false
Truth Value
Whether a statement is true or false
Negation
The opposite meaning of a statement, as well as the opposite truth value
Compound Statement
Two or more statements joined by the word and or or
Conjunction
A compound statement using the word and
Disjunction
A compound statement that uses the word or
Truth Table
A method used to organize truth values of statements and to determine truth values of negations and compound statements
Conditional Statement
Statement that can be written in if-then form
If-then statement
if p, then q
Hypothesis
The phrase that immediately follows the word if
Conclusion
The phrase immediately follows the word then
Related Conditionals
Other statements that are based on a given conditional statement
Converse
Formed by exchanging the hypothesis and conclusion of the conditional
Inverse
Formed by negating both the hypothesis and conclusion of the conditional
Contrapositive
Formed by negating both the hypothesis and the conclusion of the converse of the conditional
Logically Equivalent
Statements with the same truth value
Deductive Reasoning
Uses facts, rules, definitions, or properties to reach logical conclusions from given statements
Valid
Logically correct
Law of Detahment
If p--> q is a true statement and p is true, then q is true
Law of Syllogism
If p--->q and q--> r are true statements , then p--> r is a true statement
Postulate
Statement that is accepted as true without proof
Axiom
A postulate
Proof
A logical argument in which each statement you make is supported by a statement that is accepted as true
Theorem
A statement or conjecture has been proven, and can be used as a reason to justify statements in other proofs
Deductive Argument
Forming a logical chain of statements linking the given to what you are trying to prove
Paragraph Proof
Writing a paragraph to explain why a conjecture for a given situation is true
Informal Proof
Paragraph proofs
Algebraic Proof
A proof that is made up of a series of algebraic statements
Two- Column Proof
Contains statements and reasons organized in two columns
Formal Proof
Another name for Two- Column Proof(Contains statements and reasons organized in two columns)
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