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4 Cards in this Set

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The points of a line can be put into one-to-one correspondence with the real numbers so that the distance between any two points is the absolute value of the difference of the corresponding numbers.
ruler postulate
AB= |a-b|
<--(A)----(B)-->
If three points A, B, and C are collinear and B is between A and C, then AB + BC = AC. The three points must share an endpoint
segment addition postulate
(A)------(B)---(C)
Given line AB and a point O on line AB. Consider rays OA and OB, as well as all the other rays that can be drawn, with O as an endpoint, on one side of line AB. These rays can be paired with the real numbers between 0 and 180 in such a way that:

1. Ray OA is paired with 0, and ray OB is paired with 180.

2. If ray OR is paired with a and ray OQ is paired with b,
then m <ROQ = | a - b |.
protractor postulate
http://www.pearsonsuccessnet.com/snpapp/iText/products/0-13-037878-X/Ch01/01-04/images/Ch1_Sec04_im022.gif
-If point B is in the interior of AOC, then mAOB + mBOC= mAOC
-If AOC is a straight angle, then mAOB + mBOC= 180
(must share an endpoint)
angle addition postulate
http://www.pearsonsuccessnet.com/snpapp/iText/products/0-13-037878-X/Ch01/01-04/images/Ch1_Sec04_im029.gif