Give a definition for parallel lines. Are there other terms that need to be defined first? What are they,and how might you define them?

(N/A) Parallel lines: Two lines in a plane are said to be parallel if they do not intersect each other,no matter how far they are extended in either direction.
Yes,there are other terms that need to be defined first:
$1$. Point: $A$ point is a location in space that has no dimension (no length,breadth,or thickness).
$2$. Line: $A$ line is a breadthless length that extends infinitely in both directions.
$3$. Plane: $A$ surface which has length and breadth only.
$4$. Intersection: Two lines are said to intersect if they have a common point.
$5$. Distance between lines: The perpendicular distance between two parallel lines is constant at all points.