## Chapter 2 - Conditional Statements

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aliciaperrry  on October 7, 2011

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# Chapter 2 - Conditional Statements

 conditional statementif - then statement
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#### Math / Symbols

conditional statement if - then statement
hypothesis the "if" part of the conditional statement
conclusion the "then" part of the conditional statement
truth value the statement is either true or false
Conditional T F F T (t = true, f = false)
Converse F T F T (t = true, f = false)
Biconditional N N N Y (n = no, y = yes)
condiotional if p→q (if p then q)
converse if q→p (if q then p)
biconditional p↔q (p if and only if q)
if p→q and q→p is true then p↔q is true
counterexample a fact proving the hypothesis wrong
Law of Detatchment if p↔q is true, and p is true, than q is true.
(if it can not be written as a true converse, it can not be stated)
Law of Syllogism if p→q and q→r is true than p→r is also true
Addition Property of Equality if a = b than a + c = b + c
Subtraction Property of Equality if a = b than a - c = b - c
Multiplication Property of Equality if a = b than a ⋅ c = b ⋅ c
Division Property of Equality if a = b and c ≠ 0 than a/c - b/c
Reflexive Property of Equality a = a
Symmetric Property of Equality if a = b than b = a
Transit Property of Equality if a = b and b = c than a = c
Substitution Property of Equality if a = b then b can replace a in any expression
Distributive Property of Equality a(b + c) = ab + ac
Reflexive Property of Congruence AB ≈ AB
∠A ≈ ∠A
Symmetric Property of Congruence if AB ≈ CD than CD ≈ AB
If ∠A ≈ ∠B than ∠B ≈ ∠A
Transit Property of Congruence If AB ≈ CD and CD ≈ EF than AB ≈ EF
IF ∠A ≈ ∠B and ∠B ≈ ∠C than ∠A ≈ ∠C
Congruent Supplements Therum if 2 ∠ are supplements to the same ∠ ( or 2 are ≈ ∠'s) than their ∠ are ≈
Congruent Complements Therum if 2 ∠'s are complements of the same ∠ (or 2 ≈∠'s) than the ∠'s are ≈
Right Angel Therum All right ∠'s are ≈

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