one plane LINE
== == 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.
Yes
false
It takes exactly 2 distinct points to uniquely define a line, i.e. for any two distinct points, there is a unique line containing them.
== == 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.
Yes
False!
between two point there is exactly one line between three points there is exactly one plane
There is exactly one line that can pass through two distinct points. This line is uniquely determined by the two points.
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.
Any two points are always collinear, since you can draw a straight line passing through any two points.
The two lines are identical.
It takes exactly 2 distinct points to uniquely define a line, i.e. for any two distinct points, there is a unique line containing them.
Yes, two points are always collinear. You can draw a line through any two points.