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Mathematics 18 Online
OpenStudy (anonymous):

true or false- Parallel lines have no points in common?

OpenStudy (anonymous):

true.

OpenStudy (anonymous):

Parallel lines can never meet and therfore have no points in common.

OpenStudy (anonymous):

False Parallel = No point in common OR all point in common (both line are in fact the same)

OpenStudy (anonymous):

This is the formal definition of parallelism. When you exclude the case where the line are in fact the same, it is called strict parallelism

OpenStudy (anonymous):

True. If the two lines are the same they are NOT parallel lines, they are one line. not lineS. Parallel lines have no points in common.

OpenStudy (anonymous):

No. You are wrong. The axiomatic definition of parallel line is : - Every point on line m is located at exactly the same minimum distance from line l (equidistant lines). => the distance can be 0 -

OpenStudy (anonymous):

What level are you working at bello30342?

OpenStudy (anonymous):

Euclidean geometry states that parallel lines cannot meet. " The existence and properties of parallel lines are the basis of Euclid's parallel postulate. Two lines in a plane that do not intersect or meet are called parallel lines."

OpenStudy (anonymous):

Go to the section "Euclidean parallelism", read axiom 1.

OpenStudy (anonymous):

At http://en.wikipedia.org/wiki/Parallel_line

OpenStudy (anonymous):

That doesn't indicate that the distance can be zero.

OpenStudy (anonymous):

What is not forbidden is allowed. Moreover, the parallel psotulate you are refering to does not specify that the two segment must not be the same. Therefore, the two case are definition of parallelism.

OpenStudy (anonymous):

And furthermore, if you go on reading, you will find "Another definition of parallel line that's often used is that two lines are parallel if they do not intersect, though this definition applies only in the 2-dimensional plane. "

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