Flashcards in 2.1-2.4 Deck (23):

1

## Negation

### Opposite of your original statement

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## When are your conditionals false

### When you can provide a counter example

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## Converse

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When you exchange your hypothesis and conclusion

Ex if the car is red then it flys

If the car flys then it is red

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## Inverse

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Take the opposite of your original statement

Ex if the car is red then it flys

If the car is not red then it doesn't fly

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## Contrapositive

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Write the converse and then take the opposite of that statement

Ex if the car is red then it flys

If the car doesn't fly then the car isn't red

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## Equivalent statements

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When two statements are both true or both false they are called equivalent statements. Conditional and Contrapositive

Inverse and converse

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## Biconditional statements

### If and only if

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## Inductive reasoning

### A conjecture based on a pattern or observations, inferring

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## Deductive reasoning

### Gives the facts, definitions, accepted properties, and laws of logic to form a logical conclusion

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## Law of detachment

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If the hypothesis of a conditional statement is true then the conclusion is true

Ex if this wind keeps up then we will lose some trees. We lose some trees

Conclusion, the wind kept up

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## Law of syllogism

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If the hypothesis is the same as the conclusion of another one.

Hypothesis P, conclusion Q,

Hypothesis Q, conclusion R

= hypothesis P conclusion R

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## Conditional statement

### An if then statement that has a hypothesis and conclusion

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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 plane intersect then their intersection is a line

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## Conjecture

### A statement based on incomplete Info

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## To make a conjecture true you must..

### Show it is true for all cases

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## To make a conjecture false you must...

### Find one counter example

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