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# Chapter 2

### Reasoning and Proof

TermDefinition
Conditional Statements If- then statements
Hypothesis Follows the "if" part of a conditional statement
Conclusion Follows the "then" part of the conditional statement
Converse Switches the hypothesis and the conclusion
Biconditional Combines the true conditional and the true converse into an "if and only if" statement
Truth Value The true or false of a conditional
Law of Syllogism 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 Detachment If a conditional is true and its hypothesis is true, then its conclusion is true.
Negation A statement has the opposite truth value.
Inverse A conditional statement that negates both the hypothesis and the conclusion
Contrapositive A conditional statement that switches the hypothesis and the conclusion and negates both.
Indirect Reasoning Reasoning that considers all possibilities are considered and then when one is proven false the remaining possibility must be true.
Reflexive Property a=a
Symmetric Property If a=b, then b=a
Transitive Property If a=b and b=c, then a=c
Created by: Kstluka

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