== == Through any two points there is exactly one straight line.
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!
Yes, it is true that through any three points, if they are not collinear (not all lying on the same straight line), there exists exactly one line that can be drawn through any two of those points. However, if the three points are collinear, they all lie on the same line, meaning that there is still only one line that can be associated with them. In summary, the statement holds true under the condition that the points are not all collinear.
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