In plane geometry there is exactly one straight line through two points. There can be any number of curved lines.
one plane LINE
I think you mean: Are any three points contained in exactly one plane? only if they're not collinear... I think
Yes
exactly one
Collinear points
In plane geometry there is exactly one straight line through two points. There can be any number of curved lines.
one plane LINE
between two point there is exactly one line between three points there is exactly one plane
I think you mean: Are any three points contained in exactly one plane? only if they're not collinear... I think
Yes
False!
Through any three noncollinear points, there is exactly one plane.
No, it is not true. Just think of the three vertices of a triangle.
exactly one
false
Through any three points NOT on the same straight line. If they are all on the same line then that line can act as an axis of rotation for an infinite number of planes containing the three points.