Definitions, Properties, Postulates and Theorems

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

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Addition Subtraction Multiplication Division Properties of Inequality: Trichotomy Transitive Addition Multiplication Existence of square roots
Background image of page 2
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: THEOREM: If a b > 0, then a > b. THEOREM: If a = b + c and c 0, then a > 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 < y < 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...
View Full Document

This note was uploaded on 05/16/2011 for the course ALGEBRA 098 taught by Professor Johnson during the Spring '09 term at Grand Valley State University.

Page1 / 3

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online