# Geometry Postulates

 Unique Line Assumption of the Point-Line-Plane Postulate (PLP): Dimension Assumption of the PLP: Unique Distance Assumption of the PLP: Through any two points, there is exactly one line.point = 0 dimensions; line = 1 dimension; plane = 2 dimensions; space = 3 dimensionsOn a number line, there is a unique distance between two points. The distance is defined as the absolute value of x-y. Reflexive Property of Equality: Symmetric Property of Equality: Transive Property of Equality: a=aIf a=b, then b=aIf a=b and b=c, then a=c Addition Property of Equality: Multiplication Property of Equality: Substitution Property of Equality: If a=b, then a+c=b+c (add the same thing to both sides keeps the problem the same)If a=b, then ac=bc (multiply the same thing to both sides keeps the problem the same)If a=b, then a may be substituted for b in any expression (3x+6=21, x=5, then 3(5)+6=21) Addition Property of Inequality: Multiplication Property of Inequality: Equation to Inequality Property: Transitive Property of Inequality: If a0, then aca and c>b (If a+b=8, then a cannot be greater than 8 when the variables are positive numbers)If ac) Unique Measure Assumption of the Angle Measure Postulate (AMP): Zero Angle Assumption of the AMP: Straight Angle Assumption of the AMP: (not included: Angle Addition Property of the AMP & the Two Sides of Line Assumption of the AMP) Every angle has a unique measure from 0o to 180o. If ray VA and ray VB are the same ray, then the measure of angle AVB is 0o. If ray VA nad ray VB are opposite rays, the the measure of angle AVB is 180o. Reflection Postulate (5 parts): Angle measure is preserved.Betweenness is preserved.Collinearity is preserved.Distance is preserved.Each preimage has exactly one image. Authormathlover1 ID32127 Card SetGeometry Postulates DescriptionGeometry Postulates...add over time. Based on Euclid's geometry. Updated2010-09-12T21:06:54Z Show Answers