If two different lines intersect, they will always intersect at one point.
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wrong!
No, parallel lines never intersect, so they do not have any points in common. Intersecting lines have one common point.
FALSE!!
They are said to be perpendicular lines.
Two lines intersect at one point. If in two dimensions, and they do not intersect they are parallel. The other option in two dimensions is they are the co-linear, that is they are the same line, in which case they intersect at all points.