Not if they are straight lines.
A vertex is where two lines of the shape meet. For example, the three points on a triangle are called vertices.
no
Two or more lines that are the same distance at all points are called parallel lines.
The lines are PARALLEL.
The two lines are identical.
If two lines cross they share a point of intersection. For two straight lines this is limited to one common point, for two circles two points and for complex lines like two sine waves the number of common points has no limit.
When two lines meet to form an angle the lines are intersecting.
Two lines can't do that. It takes three lines to form a triangle.
When two lines intersect they form an axes.
In classical or Euclidean plane geometry two points defines exactly one line. On a sphere two points can define infinitely many lines only one of which will represent the shortest distance between the points. On other curved surfaces, or in non-Euclidean geometries, the number of lines determined by two points can vary. Even in the Euclidean plane, two points determine infinitely many lines that are not straight!
None. In ordinary geometry, a line contains an infinite number of points and, by definition, they are all collinear. In projective geometry, however, you can have three lines in the form of a triangle. Each line has only two points on it, so it cannot have 3 points collinear.