Chapter 2 - Conditional Statements
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Created by:
aliciaperrry on October 7, 2011
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25 terms
English | 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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