This is the "2.3: Deductive Reasoning" page of the "Geometry Chapter 2" guide.
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Geometry Chapter 2   Tags: geometry, mahlman, math  

Last Updated: Feb 19, 2014 URL: http://libguides.mpsaz.net/content.php?pid=108295 Print Guide RSS Updates

2.3: Deductive Reasoning Print Page
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Theorems

Symbolic Notations

        If it is sunny, then we are in Arizona.

               p                                   q

 

Summary with Symbols

 

Conditional

Statement

Converse

Inverse

Contrapositive

Bi Condional

p → q

q → p

~p → ~q

~q → ~p

↔ q

If the car will start, then the battery is charged.

If the battery is charged, then the car will start.

If the car will not start, then the battery is not charged.

If the battery is not charged, then the car will not start.

Car will start if and only if the battery is charged.

 

Truth Table

 

p

q

p → q

T

T

T

T

F

F

F

T

T

F

F

T

 

Inductive VS Deductive

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