Type of Reasoning that uses patterns of examples or observations to make a conjecture.
What is Inductive Reasoning?
100
If two angles are verticle angles, then they are ______
What is congruent?
200
reasoning that uses a number of specific example to arrive at a conclusion.
What is a inductive reasoning?
200
A convenient method for oganizing the truth values of statements.
What is a truth table?
200
In a conditional statement that is the phrase that follows directly after the word if.
What is a hypothesis?
200
Type of reasoning that uses facts, rules, definitions, or properties to reach conclusions from given statements.
What is Deductive Reasoning?
200
Once a statement or conjection has been proven.
What is a theorem?
300
A concluding statement reached using inductive reasoning.
What is a conjecture?
300
A compound statement that using the word and.
What is a conjunction?
300
Statements with the same truth values.
What is logically equivalent?
300
Law that allows you to draw conclusions from two true conditional statementswhen the conclusion of one staement is the hypothesis of the other.
What is Law of Syllogism?
300
To prove a conjecture, you use deductive reasoning to move from hypothesis to the conclusion of the conjecture uou are trying to prove.
What is a Proof?
400
Cost: $4.50, $6.75, $9.00,...
What is $2.25?
400
Use the information to write the negation of each statement:
All squares are rectangles.
What is at least one square that is not a rectangle?
400
Ientify the hypothesis an the conclusion of the conitional statement:
If today is Friday, then tomorrow is Saturday.
What is the Hypothesis: today is Friday and the Conclusion: tomorrow is Saturday?
400
Determine whether each conclusion is based on inductive or deductive reasoning:
If Eduardo decides to go to a concert, he will miss football practice. Tonight, Eduardo went to a concert. Eduardo missed football practice.
What is Inductive Reasoning?
400
determine whether each statement is always, sometimes, or never true. Explain:
Points A, B, and C determine a plane.
What is Sometimes, the points must be noncollinear?
500
Make a conjecture about each value or geometric relationship:
The relationship between the areas of a square with side x and a rectangle with sides x and 2x
What is the area of the rectangle is two times the area of the square?
500
Determine if the truh value is true or false if true- explain if false- give a counterexample:
If a number is odd, then it is divisible by 5.
What is False: because 9 is odd but doesn't divide by 5?
500
Use the Law of Syllogism to draw a valid conclusion from each set of statements (if it is Possible if not write no valid conclusion):
If you interview for a job, then you wear a suit.
If you interview for a job, then you will update your resume.
What is No Valid Conclusion?
500
Forming a logical chain of statements linking the given to what you are trying to proof.