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27 Cards in this Set
- Front
- Back
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Conditional Statement |
A logical statement that has two parts, a hypothesis and a conclusion |
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If-Then Form |
"if" part contains hypothesis, "then" part contains conclusion. ex: If I make cookies, then I will eat them. |
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Negation |
The opposite of the original statement (put the word 'not' in front of the hypothesis and conclusion). |
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Equivalent Statements |
When two statements are both true or both false |
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Perpendicular Lines |
Two lines that intersect to form a right angle. |
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Biconditional Statement |
a statement that contains the phrase "if and only if" (means both the if-then form and it's converse are true). |
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Converse |
the hypothesis and conclusion switch places |
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inverse |
negation of both the hypothesis and conclusion |
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contrapositive |
both the converse and the inverse of a statement |
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Deductive Reasoning |
using facts, definitions, accepted properties, and the laws of logic to form a logical argument |
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Law of Syllogism (Chain Rule) |
If part 1, then part 2. If part 2, then part 3. Therefore if part 1, then part 3. |
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Law of Detachment |
If the hypothesis of a conditional statement is true, then the conclusion is also true |
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Inductive Reasoning (patterns) |
Observations Assumptions Not necessarily true |
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Deductive Reasoning (Facts) |
Conclusion is always true Direct Argument Chain Rule |
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Line Perpendicular to a Plane |
a line that intersects the plane in a point and is perpendicular to every line in the plane that intersects it at that point |
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Postulate 5 |
through any two points there exists exactly one line |
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Postulate 6 |
a line contains at least two points |
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Postulate 7 |
If two lines intersect, then their intersection is exactly one point. |
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Postulate 8 |
Through any three noncollinear points there exists exactly one plane. |
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Postulate 9 |
A plane contains at least three noncollinear points. |
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Postulate 10 |
If two points lie in a plane, then the line containing them lies in the plane. |
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Postulate 11 |
If two plains intersect, then their intersection is a line. |
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Addition Property (of Equality) |
If a=b, then A+C=B+C |
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Subtraction Property (of Equality) |
If a=b, then a-c=b-c |
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Multiplication Property (of Equality) |
if a=b, then ac=bc |
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Division Property (of Equality) |
If a= and c doesnt equal 0, then a/c = b/c |
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Substitution Property (of Equality) |
If a=b, then a can be substituted for b in any equation or expression |
