I'm not sure if I fully understand your question, but I think the term you're looking for is coplanar.
Points and lines on the same plane are coplanar.
If the question is .. " Points and lines in the same plane "? then the anwser is COPLANER
Lines that lie in the same plane and have no points in common are called parallel lines. These lines maintain a constant distance from each other and never intersect, regardless of how far they are extended. In Euclidean geometry, parallel lines are characterized by having the same slope when represented on a coordinate plane.
Points or lines that lie on the same plane are coplanar.
Things in the same plane are coplanar.
Points and lines on the same plane are coplanar.
If the question is .. " Points and lines in the same plane "? then the anwser is COPLANER
Points or lines that lie on the same plane are coplanar.
Points on the same plane are coplanar lines.
Points that are within the same plane are called co-planer.
Things in the same plane are coplanar.
The lines are PARALLEL.
They are lines or points that lie on the same plane. Remember 3 or more points are collinear if they lie on the same line. IF those lines lie on the same plane they are coplanar.
points that lines in the same plane are coplanor
paralell if they have no common points.
Parallel.
If there are no common points but both lines lie n the same plane they are considered "coplanar points"