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Lines that have one point in common?
Intersecting lines. If they have only one point in common, then they are also non-parallel.
What do parallel lines have?
No point in common. That is correct. More common explanation is that even if you extend the lines in either direction, they would not touch (i.e. have a common point.)
Is a line parallel to itself?
Two lines are not parallel if they have exactly one point in common; otherwise they are parallel. So this means a line is parallel to itself!
What is a point on the horizon where parallel lines appear to meet?
A point on the horizon where parallel lines appear to meet is called the vanishing point.
How do you negate the euclidean parallel postulate?
Assume there are no lines through a given point that is parallel to a given line or assume that there are many lines through a given point that are parallel to a given line. There exist a line l and a point P not on l such that either there is no line m parallel to l through P or there are two distinct lines m and n parallel to l through P.
