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Question 838925: Use the accompanying figure to name the postulate that explains this statement: Points R and Z are in line ZR.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! there is no accompanying figure.
however, the postulates that reference lines are:
Postulate 1: A line contains at least two points.
Postulate 3: Through any two points, there is exactly one line.
the statement you want to explain using the postulate is:
Points R and Z are in line ZR.
i would guess that postulate 3 would be the one to explain it, although you could also use postulate 1, since the line ZR is defined as the line between the points Z and R.
postulate 3, however, is more to the point, since postulate 1 indicates there may be more points on the same line while postulate 3 indicates that there is only one line between 2 points, that line being the line labeled ZR.
i would go with postulate 3.
a good reference of postulates and theorems in geometry can be found at the following link:
http://www.riverview.wednet.edu/parade/teachers/mcclintict/Geometry-1/Geo-PostulatesTheorems-List-2011.pdf
i think postulates and theorems relating to lines is on page 3.
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