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23 Cards in this Set
- Front
- Back
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Conditional |
Made up of two parts,a hypothesis and a conclusion. It is written in if-then form. |
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Converse |
Flips the conditional statement |
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Inverse |
Negates both parts of the conditional statement |
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Contrapositive |
It negates the converse statement |
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Bi-conditional |
Happens when the conditional and converse statements are both true. |
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Law of Detachment |
The law of detachment has a prescribed pattern. There are two premises (statements that are accepted as true) and a conclusion. They must follow the pattern as shown below. Statement 1: If p, then q. Statement 2: p. |
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Law of syllogism |
The law of syllogism takes two conditional statements and forms a conclusion by combining the hypothesis of one statement with the conclusion of another. |
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Addition Property |
If a=b then, a+c=b+c |
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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 |
If a=b then and c=0 then a/c = b/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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Distributive Property |
a(b+c)=ab+ac where a,b,and c are real numbers |
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Reflexive Property of Equality |
Real number: For any real number a, a=a Segment length: For any segment AB, AB=AB Angle Measure: For any angle A, M |
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Symmetric Property of Equality |
Real numbers: For any real numbers a and b, if a=b then b=a Segment Length: For any segments AB and CD, if AB=CD, then CD=AB Angle Measure:For any angles A, B, and C if m< |
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Transitive Property of Equality |
Real Numbers: For any real numbers a, b, and c, if a=b and b=c then a=c Segment Length: For any AB, CD, and EF, if AB=CD and if CD=E, then AB=EF Angle Measure: For any angles a, b, and c then m |
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Postulate 5
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Through any two points there exists exactly one line.
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Postulate 6
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a line contains at least two points
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Postulate 7
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if two lines intersect, then their intersection is one point
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Postulate 8
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Through any three noncollinear points there exists exactly one plane
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Postulate 9
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A plane contains at least three noncollinear points
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Postulate 10
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If two points lie in a plane, then the line containing them lies in the plane
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Postulate 11
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If two lines intersect then the intersection is a line
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