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Geometry Ch. 2 Terms

Postulates, theorems, and terms(payton)

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