2
Two distinct (different) points are needed to determine a line.
A plane can be determined by three points, as long as the three points do not lie along a single line.
If 2 points determine a line, then a line contains infinitely many planes.
a line has to have at least 2 points.a plane has to have at least 3 points.______________It takes two points to define a unique line in Euclidean space. But every line and every line segment contains infinitely many points. The same is true for planes in Euclidean space. You need at least 3 points to define a unique plane, but every plane containes infinitely many points and infinitely many lines or line segments.
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.
Two distinct (different) points are needed to determine a line.
2
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.
A plane can be determined by three points, as long as the three points do not lie along a single line.
Two
In order to draw a straight line, two unique ordered pairs are needed. This is because two unique points determine a line and an ordered pair represents a point.
A line contains an infinite number of points but it takes only two points to determine a line.
If 2 points determine a line, then a line contains infinitely many planes.
You need two points to determine a line. A single point can have an infinite number of lines passing through it.
a line has to have at least 2 points.a plane has to have at least 3 points.______________It takes two points to define a unique line in Euclidean space. But every line and every line segment contains infinitely many points. The same is true for planes in Euclidean space. You need at least 3 points to define a unique plane, but every plane containes infinitely many points and infinitely many lines or line segments.
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 is defined by at least three non-collinear points. While an infinite number of points can exist within a plane, the minimum requirement to determine a unique plane is three points that do not all lie on the same straight line.