No. Any two points can be made to form a line.
Since collinear is points that lie on the same line, and you need two points to form a line so those 2 points are collinear. So the opposite of that is noncollinear.
Three noncollinear points ( A ), ( B ), and ( C ) determine exactly three lines: line ( AB ), line ( BC ), and line ( AC ). Each pair of points defines a unique line, and since the points are noncollinear, no two lines coincide. Thus, the total number of lines determined by points ( A ), ( B ), and ( C ) is three.
A plane
You have to have three or more points to have non-colinear points because any two points determine a line. Noncolinear are NOT on the same line.
To define the terms in logical order, start with "noncollinear points," which are points that do not all lie on the same line. Next, define a "segment," which is a part of a line that connects two endpoints. Finally, introduce the concept of a "triangle," which is formed by connecting three noncollinear points with segments. This order establishes a clear understanding of how each term relates to the others in geometry.
Since collinear is points that lie on the same line, and you need two points to form a line so those 2 points are collinear. So the opposite of that is noncollinear.
Three noncollinear points ( A ), ( B ), and ( C ) determine exactly three lines: line ( AB ), line ( BC ), and line ( AC ). Each pair of points defines a unique line, and since the points are noncollinear, no two lines coincide. Thus, the total number of lines determined by points ( A ), ( B ), and ( C ) is three.
noncollinear
A plane
You have to have three or more points to have non-colinear points because any two points determine a line. Noncolinear are NOT on the same line.
To define the terms in logical order, start with "noncollinear points," which are points that do not all lie on the same line. Next, define a "segment," which is a part of a line that connects two endpoints. Finally, introduce the concept of a "triangle," which is formed by connecting three noncollinear points with segments. This order establishes a clear understanding of how each term relates to the others in geometry.
Any Euclidean plane has infinitely many points.
A real-life example of noncollinear points can be found in the layout of a triangular park. If you consider three trees planted at different corners of the park, those trees represent noncollinear points because they do not lie on the same straight line. Each tree's position forms a distinct vertex of the triangle, illustrating how noncollinear points can create shapes in a spatial context.
3
3
3 or more
Three.