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25 Cards in this Set
- Front
- Back
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Inductive reasoning
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Is the prosses of proving a statement through observation. (seeing)
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Conjecture
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A statement you belive to be true based on inductive reasoning.
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Counter example
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To show that a conjecture is false.
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Conditional statement
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A statment that can de written as p,q.
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Hypothesis
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the part (p) of a conditional statement following the word (if).
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Conclution
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The part (q) of a conditional statement followed bt the word (then).
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Truth value
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whether or not a conditional statement is true or false.
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Negation
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The statment is not, (not p) or ~p.
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Converse
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Original: P then Q
changed: Q then P |
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Inverse
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Original: P then Q
Changed: -P then -Q |
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Countrapositive
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Original: P then Q
Changed: -Q then -P |
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Deductive reasoning
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The prosses of using logic to draw conclutions from given facts, definitions, and properties.
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Biconditional statement
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P if and only if Q
If P then Q If Q then P |
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Proof
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Used to prove a statement
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Addition property of equality
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a=b, a+c=b+c
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Subtraction POE
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a=b, a-c=b-c
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Multiplication POE
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a=d, ac=bc
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Divition POE
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a=b, c≠o a/c=b/c
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Reflexive POE
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a=a
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Symmetric POE
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a=b, b=a
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Transitive POE
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a=b, b=c, so a=c
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Sudstitution POE
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a=b, b can be substituted by a in any expression.
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Theorem
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Any statement that you can prove.
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Paraghraph proof
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A style of proof that presents the steps of the proof and thier reasons in paragraph form.
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Common order for writing a two collum proof.
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Given, Definition of congruency, sudstitution, Addition post., Sudstitution, Definition of congruency.
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