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chapter 2
concditionals, biconditionals,deductive reasoning,reasoning,proving angles
16
Mathematics
10th Grade
09/24/2008

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Cards

Term

 

 

 

 

conditional statements

Definition

 

 

 

if, then statements 

Term
"IF"
Definition
hypothesis
Term
"THEN"
Definition
conclusion
Term
P -> Q
Definition
conditional
Term
Q-> P
Definition
Converse
Term
switches the hypothesis and conclusion
Definition
Converse Statement
Term
A statement you get by combining the conditional and converse statement
Definition
Biconditional
Term
"If and only if"
Definition
how you connect converse and conditional statements
Term
P <--> Q
Definition
Biconditional
Term
Uses words that is specific (precise)
Use clearly understood terms
Avoid- words like: large, sort of, some
Is reversible
Definition
a good definition
Term
Deductive reasoning
Definition
the process of reasoning logically from given statements to a conclusion
Term

If a conditional is true and its hypothesis is true, then its conclusion is true.

If p→q is a true statement and p is true, then q is true.

 

Definition

Law of Detachment (Direct Reasoning)

Term
[image]
Definition
[image]Law of Detachment (Direct Reasoning)
Term

If p→q and q→r are true statements, then p→r is a true statement

Definition

Law of Syllogism (Transitivity)

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