Question | Answer |
What is the form of a conditional statement? | If Hypothesis, Then Conclusion |
What is the form of the Converse statement? | If Conclusion, Then Hypothesis |
How do you find a counterexample? | find a conclusion that is false, when the hypothesis is true (don't touch the hypothesis) |
What is the best definition? | the biconditional, when a conditional statement is reversible and still true |
what is the biconditional phrase? | if and only if |
what is the form of the biconditional? | Hypothesis if and only if Conclusion |
when does the biconditional occur? | when the conditional and converse are both true |
when an operation is performed to both sides of an equation, we call them... | properties of equalities |
Name the operational properties of equality | multiplication, division, addition, subtraction |
What does supplementary angles mean? | angles add to 180 |
What does vertical angles do? | vertical angles are congruent |
What does complementary angles do? | angles add to 90 |
what givens do you need to use the law of detachment? | if hypothesis, then conclusion (Conditional) AND the hypothesis |
What does the law of detachment conclude as true? | the conclusion detaches as true |
what givens doe you need to use the law of syllogism? | Two if, then where there is a repeated piece. |
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 |