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20 Cards in this Set
- Front
- Back
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Conditional Statement |
has two parts, a hypothesis and a conclusion |
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Example of if and then form |
If it is noon in Georgia, then it is 9 A.M in California |
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Converse |
switching hypothesis and conclusion |
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Inverse |
Making the sentence negative/false completely |
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Contrapositive |
Make hypothesis negative and conclusion the same |
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Examples of: Original Inverse Converse Contrapositive |
if angle a equals 30 then angle a is acute if angle a is not 30 then angle is not accute If the angle is acute then it equals 30 degrees If the angle is not acute then it is not 30 degrees |
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Perpendicular lines |
Two lines that intersect to form a right angle |
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Biconditional Statements and example |
Statement that contains the phrase if and only if Three lines are coplanar if and only if they lie on the same plane |
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two laws of inductive reasoning |
Law of detachment and law of syllogism |
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Law of detachment |
if p=q is a true conditional statement and p is true then q is true p=hypothesis q=conclusion |
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Addition property |
If A=b. then a+c=b+c if u forget this plug in numbers into equation |
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Subtraction property |
If a=b, then a - c = b - c |
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Multiplication Property |
if a=b then ac=bc |
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Division Property |
a=b and c does not equals 0 then a/c= b=c |
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Reflexive Property |
For any real number a, a=a |
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Symmetric Property |
If a=b then b=a |
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Transitive property |
if a=b and b=c then a=c |
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Substitution Property |
if a=b then a can be substituted for b in any equation or expression |
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Two column proof |
has numbered statement and reasons that show the logical order of an argument |
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Vertical Angle theorem |
Vertical angles are congruent |
