type of reasoning in which a pattern is observed and a general conclusion is made

statement that is believed to be true based on observations or patterns

an example that shows a conjecture or statement is false

conditional statement

statement written in the form "if p then q"

it is the "IF" part of a conditional statement

is the "THEN" part of a conditional statement

a conditional statement formed by NEGATING both the hypothesis and conclusion

a conditional statement formed by SWITCHING(INTERCHANGING)the hypothesis and conclusion

conditional statement formed by SWITCHING(INTERCHANGING) and NEGATING the hypothesis and conclusion

type of reasoning that uses facts, definitions, properties, and accepted statements to reach a logical conclusion

logical argument that uses definitions, properties, postulates, and previously proven theorems to show that a statement is true

statement that has been proven true

proof organized into TWO columns, statements, and reasons

proof written as a paragraph using complete sentences

statement that is accepted TRUE without PROOF

tow or more statements joined by the word and or

designation of statement is either true or false ; gives the statement the TRUE or FALSE value

where statements are joined by the letter “OR” to make a new statement

is a step by step logical argument that uses algebraic rules, properties, and theorems to demonstrate the truth of a mathematical statement or equation

it is a table that lists all possible combinations of truth values in a logical statement and shows the resulting truth value of the compound statement

the related conditionals of a statement or its converse, inverse, and contrapositive; the contrapositive is always logically equivalent to the original condition

it is a declarative sentence that is either true or false, but not both

is a sequence of statements intended to show that a conclusion follows logically from giving information.

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GEOMETRY VOC 2

Question	Answer
inductive reasoning	type of reasoning in which a pattern is observed and a general conclusion is made
conjecture	statement that is believed to be true based on observations or patterns
counter example	an example that shows a conjecture or statement is false
conditional statement	statement written in the form "if p then q"
hypothesis	it is the "IF" part of a conditional statement
conclusion	is the "THEN" part of a conditional statement
negation	the OPPOSITE of the statement
inverse	a conditional statement formed by NEGATING both the hypothesis and conclusion
converse	a conditional statement formed by SWITCHING(INTERCHANGING)the hypothesis and conclusion
contrapositive	conditional statement formed by SWITCHING(INTERCHANGING) and NEGATING the hypothesis and conclusion


deductive reasoning	type of reasoning that uses facts, definitions, properties, and accepted statements to reach a logical conclusion


proof	logical argument that uses definitions, properties, postulates, and previously proven theorems to show that a statement is true
theorem	statement that has been proven true
two column proof	proof organized into TWO columns, statements, and reasons
paragraph proof	proof written as a paragraph using complete sentences

postulate	statement that is accepted TRUE without PROOF








compound statement	tow or more statements joined by the word and or
truth value	designation of statement is either true or false ; gives the statement the TRUE or FALSE value
Disjunction	where statements are joined by the letter “OR” to make a new statement
Algebraic Proof	is a step by step logical argument that uses algebraic rules, properties, and theorems to demonstrate the truth of a mathematical statement or equation
Truth Table	it is a table that lists all possible combinations of truth values in a logical statement and shows the resulting truth value of the compound statement
Related Conditionals	the related conditionals of a statement or its converse, inverse, and contrapositive; the contrapositive is always logically equivalent to the original condition
Statement	it is a declarative sentence that is either true or false, but not both
Deductive argument	is a sequence of statements intended to show that a conclusion follows logically from giving information.

Created by: sloancaston

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