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examples
100
Reasoning based on patterns you observe
what is inductive reasoning?
100
Exchange the hypothesis and the conclusion.
what is the converse?
100
if the hypothesis of a true conditional is true, then the conclusion is true
what is the law of detachment?
100
Find a pattern for the sequence. Describe the pattern and use it to show the next two terms.
what are 5 and -5 - multiply each previous term by -1?
100
Solve for x
What is 53?
200
example that shows that a conjecture is incorrect
what is a counterexample?
200
negate both the hypothesis and the conclusion of the conditional
what is the inverse?
200
allows you to state a conclusion from two true conditional statements when the conclusion of one statement is the hypothesis of the other statement
if p-> q is true, and q->r is true, then p->r is true.
what is the law of syllogism?
200
Find a counterexample to show that the conjecture is false.
The city of Portland is in Oregon.
what is Portland, Maine?
200
Is angle B congruent to angle D
what is yes?
300
an if-then statement
what is a conditional?
300
negate both the hypothesis and the conclusion of the converse
what is the contrapositve?
300
a convincing argument that uses deductive reasoning
what is a proof?
300
Use the given property to complete the statement.
Distributive Property: 3p-6q=3(?)
What is p-2q?
300
This is a ____
What is a Venn diagram?
400
the part p following if
what is a hypothesis?
400
single true statement that combines a true conditional and its true converse
what is a biconditional?
400
a conjecture or statement that you prove true
what is a theorem?
400
use the given property to complete the statement
Division Property of Equality
If 2(AX)=2(BY), then AX =?
What is BY?
400
Solve
What is B, x=7?
500
the part q following then
what is a conclusion?
500
the process of reasoning logically given statements or facts to a conclusion
what is deductive reasoning?
500
the two types of proofs
what are paragraph and two column proofs?
500
Explain why this is not a good definition -
A pen is a writing instrument.
What is not reversible?
500
Solve
What is x=10?
What is y=40?