Defining Geometric Terms: Line, Point, "Lie On", Between, Congruent

mamma_mia66
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Homework Statement



Define the following terms:
a) Midpoint M of segment AB.
b) Perpendicular bisector of a segment AB (you may use the term "midpoint" since ypu have just defined it).
c) Ray BDbisects angle ABC (given that point D is between A and C)
d) Points A, B, and C are collinear .
e) Lines l, m, and n are concurrent .

I need to use the five undefined geometric terms: line,point, "lie on", between, congruent.
Please someone help. Thank you.


Homework Equations




The Attempt at a Solution



I am lost. I used the dictionary, but still confused. I will apreciate any help.
 
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I am gessing for (d) Points A, B, and C lie on one line.
 
Have you tried wikipedia, mathworld, and/or planetmath?
 
No, I tried only online dictionary, but not much help. I will try these above. I tried google as I as can, but...
Thank you.
 
No problem, at your level, I would first try wikipedia then planetmath. Mathworld sometimes has a tendency to go crazy with linking definitions and one starts losing sight of the forest. Good luck.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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