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A point where two lines meet is called an intersection. Also, more than two lines can be intersected in one point.
Two coplanar (in the same plane) lines that don't meet are parallel.
They meet at the point of intersection.
A face is the flat surface of an object (2 or 3 dimensional). An edge is when two sides (faces) meet on an object. A vertex is the corner of an object, where an angle exists between two or more lines.
Intersection or Intersecting Lines