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Definitions, Properties, Postulates and Theorems

# Definitions, Properties, Postulates and Theorems - THEOREM...

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Definitions, Properties, ≠≠Postulates, Theorems Undefined terms: Postulate theorem Set Element (member) of a set Subset Union of two or more sets Intersection of two or more sets Empty set Natural (counting) numbers Whole numbers Integers Rational numbers Irrational numbers Real numbers Properties of Equality: Commutative (addition) Commutative (multiplication) Associative (addition) Associative (multiplication) Distributive

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Addition Subtraction Multiplication Division Properties of Inequality: Trichotomy Transitive Addition Multiplication Existence of square roots
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Unformatted text preview: THEOREM: If a b &amp;gt; 0, then a &amp;gt; b. THEOREM: If a = b + c and c 0, then a &amp;gt; b. Absolute value Distance Postulate Ruler Postulate Ruler Placement Postulate Betweenness THEOREM: Let A, B, and C be points on a line, with coordinates x, y, and z, respectively. If x &amp;lt; y &amp;lt; z, then A-B-C. THEOREM: If A, B, and C are three different points on the same line, then exactly one of them is between the other two. Line Postulate Segment Ray Opposite rays POINT PLOTTING THEOREM Midpoint MIDPOINT THEOREM bisector...
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