A plane has an infinite number of points. It takes 3 points to fix a plane i.e. you need 3 points to identify one unique plane.
No, two points define a line. It takes three points to define a plane.
A line segment would connect two points on a plane.
Because a place can rotate around those two points as long as the line in on the plane. Two points defines a line. A plane requires 3 points.
If two points are in a plane, then the line that contains the points is in that plane
No, 2 points define a line, 3 points define a plane.
No. Three points do. Two points determine a line.
Points on the same plane are coplanar lines.
If two points are coplanar, they lie on the same plane.
If it is a straight line it must be in the same plane. Otherwise not necessarily.
J
They are points on a coordinate plane.
In Euclidean geometry, they can only intersect in 0, 1 or infinitely many points. If there are two points of intersection then the whole line lies in the plane.