Give an example of an undefined term and explain why it is undefined.
0^0 1/0
In geometry, a point is an undefined term. It has no dimension.
1/0=undefined..we say undefined when there is no answer on such particular term..
Or how about a line. A line has no thickness. It too is an undefined term.
a line has a definition I'm pretty sure
http://www.wolframalpha.com/input/?i=definition+of+a+line&a=*MC.~-_*MathWorld-
yes, Euclid defined it a very long time ago.
A point has a definition too... literally
things like \[\frac10,\frac00,\infty\cdot0, etc\]are probably what your teacher has in mind
I guess it depends if this is for geometry or algebra.
My response to that link: define "undefined"
"Euclid defined line as a breadth-less length" from the wolfram link I posted so that is defined in some sense I would argue
I think they us that phrase to teach geometry students about geometrical concepts that can't actually be perceived in reality.
http://en.wikipedia.org/wiki/Euclidean_geometry#Naming_of_points_and_figures He defined a line in his axioms
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