## Postulates and Theorums

##### Created by:

micropeep  on October 9, 2011

##### Description:

a list of the bost BASIC postulates and theorums

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# Postulates and Theorums

 (def) Linear Pairtwo adjacent angles where the exterior sides are opposite rays
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#### Definitions

(def) Linear Pair two adjacent angles where the exterior sides are opposite rays
supplementary (theo) Linear pair angles....
(def) Vertical angles 2 angles whose rays/sides are across from the sides of the other
congruent (theo) vertical angles are...
(post) ruler for any line you can assign the numbers 0 and 1 to any two points, then assign other points on the line numbers assuming you use consistent spacing.
(post) segment addition postulate if B is between A ad C then AB+BC=AC
(def) segment two points and all the points between them
(def) ray a segment and all points x such that one point is between the other point and x.
(def) angle union of two different rays with a common end point.
(post) Protraction postulate For every angle there is a number greater than zero and less than 180.
(post) angle addition postulate If you have two adjacent angles the measure of the two angles add up to the measure of the larger angle.
(def) complementary 2 angles that add to 90 degrees
(def) supplementary 2 angles that add to 180 degrees
no more and no less than one point (theo)If two lines intersect they intersect in...
no more and no less than one plane (theo) Through a line and a point not in the line there is...
exactly one plane contains the lines (theo)If two lines intersect then...
Midpoint theorem (theo) If M is the midpoint of line AB then AM=1/2AB and MB = 1/2AB
Angle bisector theorum (theo) If ray BX is the bisector of angle ABC then M angle ABX = 1/2 m angle ABC and m angle XBC = 1/2m angle ABC
congruent adjacent angles (theo) If two lines are perpendicular then they form...
they are perpendicular (theo) If two lines form congruent adjacent angles...
the angles are complementary (theo) If the exterior sides of two acute adjacent angles are perpendicular then...
the two angles are congruent (theo) If two angles are the supplements of a congruent angles (or of the same angles) then...
the two angles are congruent (theo) If two angles are complements of congruent angles (or the same angle) then...

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micropeep