Postulates, theorems, and terms(payton)
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| conditional statement | type of logical statement that has 2 parts, a hypothesis and conclusion
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| if-then form | form of conditional statement that uses the words "if" and "then"
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| hypothesis | The "if" part of a conditional statement
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| conclusion | the "then" part of a conditional statement
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| converse | the statement formed by switching the hypothesis and conclusion of a conditional statement
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| negation | the negative of a statement. the symbol is ~
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| inverse | statement formed when you negate the hypothesis and conclusion of a conditional statement
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| contrapositive | statement formed when you negate the hypothesis and conclusion of the converse of a conditional statement
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| equivalent statement | 2 statements that are both true or both false
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| perpendicular lines | 2 lines that intersect to form a right angle
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| line perpendicular to a plane | the line that intersects the plane in a point and is perpendicular to every line in the plane that intersects it
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| bi-conditional statement | a statement that contains the phrase "if and only if"
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| logical argument | argument based on deductive reasoning, which uses facts, definitions, and accepted properties in a logical order
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| theorem | true statement that follows as a result of other true statements
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| two-column proof | a type of proof written as numbered statements and reasons that show the logical order of an argument
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| paragraph proof | type of proof written in paragraph form
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| postulate 5 | through any 2 points there exist exactly 1 line
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| postulate 6 | a line contains at least 2 points
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| postulate 7 | if 2 lines intersect, then their intersection is exactly 1 point
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| postulate 8 | through any 3 non-collinear points there exists exactly 1 plane
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| postulate 9 | a plane contains at least 3 non-collinear points
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| postulate 10 | if 2 points lie in a plain, then the line containing them lies in the plane
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| postulate 11 | if 2 planes intersect, then their intersection is a line
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| postulate 12 | if 2 angles form a linear pair, then they are supplementary
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| 2.1 properties of segment congruence | reflexive: for any segment AB, AB = AB
symmetric: if AB = CD, then CD =AB
transitive: if AB = CD, and CD = EF, then AB = EF
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| 2.2 properties of angle congruence | reflexive: for any angle A,<A = <A
symmetric: if <A = <B, then <B = <A
transitive: if <A = <B and <B = <C, then <A = <C
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| 2.3 right angle congruence | all right angles are congruent
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| 2.4 congruent supplements | if 2 angles are supplementary to the same angle then they are congruent
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| 2.5 congruent complements | if 2 angles are complement to the angle then the 2 angles are congruent
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| 2.6 vertical angles | vertical angles are congruent
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Created by:
payton1
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