The common point is called the intersection.
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Two or more lines meeting at a common point are called intersecting lines.
They are the arms of an angle.
In Euclidea space it is either a point or the two lines - which must be coincident. ----- Intersection = the point/s where the two lines meet in space. It is a point or set of points that are common to two or more geometric configurations (also called "product" - the set of elements that are common to two sets).
The point where two lines form an angle is called the vertex.
parallel