Reasoning & Proof
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| What is the form of a conditional statement? | If Hypothesis, Then Conclusion
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| What is the form of the Converse statement? | If Conclusion, Then Hypothesis
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| How do you find a counterexample? | find a conclusion that is false, when the hypothesis is true (don't touch the hypothesis)
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| What is the best definition? | the biconditional, when a conditional statement is reversible and still true
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| what is the biconditional phrase? | if and only if
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| what is the form of the biconditional? | Hypothesis if and only if Conclusion
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| when does the biconditional occur? | when the conditional and converse are both true
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| when an operation is performed to both sides of an equation, we call them... | properties of equalities
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| Name the operational properties of equality | multiplication, division, addition, subtraction
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| What does supplementary angles mean? | angles add to 180
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| What does vertical angles do? | vertical angles are congruent
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| What does complementary angles do? | angles add to 90
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| what givens do you need to use the law of detachment? | if hypothesis, then conclusion (Conditional) AND the hypothesis
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| What does the law of detachment conclude as true? | the conclusion detaches as true
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| what givens doe you need to use the law of syllogism? | Two if, then where there is a repeated piece.
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| what does the law of syllogism conclude as true? | another if. then statement as long as there is one hypothesis and one conclusion left over
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Created by:
kglanton@rhnet.org
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