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Chapter 2 Geometry Vocabulary

Across
(p. 91) __________ reasoning is reasoning that uses a number of specific examples to arrive at a conclusion.
(p. 109) The _______ is formed by negating both the hypothesis and conclusion of the conditional.
(p. 127) A postulate or _____ is a statement that is accepted as true without proof.
(p. 129) A(n) ___________ is a statement that makes an assertion that is either false or true.
(p. 99) The truth ______ of a statement is either true (T) or false (F).
(p. 127) A(n) _________ or axiom is a statement that is accepted as true without proof.
(p. 99) A compound statement using the word 'and' is called a(n) ___________.
(p. 101) A convenient method for organizing the truth values of statements is to use a truth ______.
(p. 109) The ________________ is formed by negating both the hypothesis and the conclusion of the converse of the conditional.
(p. 116) A(n) ______________ statement is the conjunction of a conditional and its converse.
(p. 128) To prove a conjecture, you use deductive reasoning to move from a hypothesis to the conclusion of the conjecture you are trying to prove. This is done by writing a(n) _____, which is a logical argument in which each statement you make is supported by a statement that is accepted as true.
(p. 136) A(n) _________ proof is a proof that is made up of a series of algebraic statements.
(p. 129) Create a deductive ________ by forming a logical chain of statements linking the given to what you are trying to prove.
(p. 92) To make some algebraic and geometric conjectures, you will need to provide _________.
(p. 129) Paragraph proofs are also called _________ proofs, although the term 'informal' is not meant to imply that this form of proof is any less valid than any other type of proof.
(p. 91) A concluding statement reached using inductive reasoning is called a(n) ___________.
(p. 129) Once a statement or conjecture has been proven, it is called a(n) _______, and it can be used as a reason to justify statements in other proofs.
Down
(p. 109) The ________ is formed by exchanging the hypothesis and the conclusion of the conditional.
(p. 100) A compound statement that uses the word 'or' is called a(n) ___________.
(p. 109) There are other statements that are based on a given conditional statement. These are known as _______ conditionals.
(p. 99) The _________ of a statement has the opposite meaning, as well as the opposite truth value.
(p. 107) The __________ of a conditional statement is the phrase immediately following the word 'then.'
(p. 137) A two-column proof or _______ proof contains statements and reasons organized in two columns.
(p. 107) The ___________ of a conditional statement is the phrase immediately following the word 'if.'
(p. 107) A(n) ___________ statement is a statement that can be written in 'if-then form.'
(p. 94) It takes only one false example, however, to show that a conjecture is not true. This false statement is called a(n) _______________.
(p. 99) A(n) __________ is a sentence that is either true or false.
(p. 99) Two or more statements joined by the word 'and' or 'or' form a(n) ________ statement.
(p. 110) Statements with the same truth values are said to be _________ equivalent.
(p. 117) Unlike inductive reasoning, which uses a pattern of examples or observations to make a conjecture, __________ reasoning uses facts, rules, definitions, or properties to reach logical conclusions from given statements.
(p. 129) One method of proving statements and conjectures, a(n) _________ proof, involves writing a paragraph to explain why a conjecture for a given statement is true.
(p. 137) A two-______ proof or formal proof contains statements and reasons organized in two columns.