Card Set Information
Geometry Postulates...add over time. Based on Euclid's geometry.
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 dimensions
On 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:
Addition Property of Equality:
Multiplication Property of Equality:
Substitution Property of Equality:
(add the same thing to both sides keeps the problem the same)
(multiply the same thing to both sides keeps the problem the same)
may be substituted for
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 a<b, then a+c<b+c (add the same thing to both sides keeps problem the same)
If a<b and c>0, then ac<bc (multiply the same thing to both sides keeps problem the same)
cannot be greater than 8
when the variables are positive numbers
Commutative Property of Addition:
Commutative Property of Multiplication:
Triange Inequality Postulate:
The sum of the length of two sides of any triangle is greater than the length of the third side. (
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 0
If ray VA and ray VB are the same ray, then the measure of angle AVB is 0
If ray VA nad ray VB are opposite rays, the the measure of angle AVB is 180
Reflection Postulate (5 parts):
ngle measure is preserved.
etweenness is preserved.
ollinearity is preserved.
istance is preserved.
ach preimage has
xactly one image.