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geometry vocab chapter 2
a statement that describes a fundamental relationship between the basic terms of geometry
the conjunction of a conditional statement and its converse
a statement formed by joining two ore more statements
the phrase that immediately follows the word then
a statement that can be written in if-then form
an educated guess based on known information
a compound statement formed by joining two ore more statements within the word and.
the statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement
the statement formed by exchanging the hypothesis and conclusion of a conditional statement
an example used to show that the given statement is not always true
a proof formed by a group of algebraic steps used to solve a problem
a system of reasoning that uses facts, rules, definitions, or properties to reach logical conclusions
a compound statement formed by joining two or more statements with the word or
statements and reasons organized in two columns
the phrase immediately following the word if
written in the form if p, then q.
uses a number of specific examples to arrive at a plausible generalization
you write a paragraph to explain why a conjecture for a given situation is true
negating both the hypothesis and conclusion of the conditional
Law of Detachment
a form of deductive reasoning that is used to draw conclusions from true conditional statements
Law of Syllogism
similar to the transitive property of equality
statements with the same truth values
has the opposite meaning as well as an opposite truth value
write a paragraph to explain why a conjecture for a given situation is true
statement that describes a fundamental relationship between the basic terms of geometry
a logical argument in which each statement you make is supported by a statement that is accepted as true
other statements based on a given conditional statement
any sentence that is either true or false but not both
a statement or conjecture that can be proven true by undefined terms, definitions, and postulates
a table used as a convenient method for organizing the truth values of statements
the truth of falsity of a statement
containing statements and reasons organized in two columns.
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