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H Geom chap 2 vocab

TermDefinition
inductive reasoning process of reasoning that a rule or statement is true because specific cases are true---when examples form a pattern and you assume the pattern will continue
conjecture statement you believe to be true based on inductive reasoning--you MUST prove to show always true--find one example which is false to show not true
counterexample the example given to show that a conjecture is not true
conditional statement "if p, then q"
hypothesis part p of a conditional statement-after the word if
conclusion part q of a conditional statement-after the word then
truth value validity of a conditional statement--either true (T) or false (F)
negation use the word "not" to mean the opposite of a statement p looks like ~p
converse reverse p and q in conditional statement "if q, then p"
inverse negation of conditional statement "if ~p, then ~q"
contrapositive reverse and negation of a conditional statement
logically equivalent statements related conditional statements that have the same truth value
deductive reasoning process of using logic to draw conclusions from given facts, definitions, and properties
biconditional statement statement that can be written in the form "p if and only if q"-----means "if p, then q" and "if q, then p"
definition statement that describes a mathematical object and can be written as a true biconditional
polygon defined as a closed plane figure formed by 3 or more line segments
triangle 3-sided polygon
quadrilateral 4-sided polygon
proof an argument that uses logic, definitions, properties, and previously proved statements to show that a conclusion is true
theorem any statement that you can prove---once proven, can be used as a reason in later proofs
2-column proof reasons given in a logical order to verify a conclusion----start with given statements, then list reasons to find conclusions
flowchart proof use boxes and arrows to show the structure of the proof
paragraph proof style of proof that presents the steps of the proof and their matching reasons as sentences in a paragraph
Created by: rachel schmelzer
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