Not enough information. Collinear means the points are on the same line. If you have any three points, they may, or may not, be on the same line.
False.
false
In Euclidean geometry, a line has no end points - it is infinite in length.
False. * * * * * No, it is true. It is false if the line is a vector but not otherwise.
Falseapex :)
False. Three collinear points determine a line while three non-collinear points determine a plane ( A Triangle)
False.
fales
Is false
True.
If three points all lie on the same line, then the points are said to be "collinear". This is also true if the slope from each point to the next is the same.
true
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.
For three non-collinear points, it is always true that they define a unique triangle. Additionally, these points do not lie on the same straight line, ensuring that the area of the triangle formed is greater than zero. Furthermore, they can be used to determine a unique circumcircle, which is the circle that passes through all three points.
true
Yes, two points are always collinear. You can draw a line through any two points.
true