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Every line and every line segment of >0 length has an inifinite amount of unique points.
Socratic Explaination:
consider ...
- There are 2 distinct points defining a line segment.
- Between these 2 distinct points, there is a midpoint.
- The midpoint divides the original segment into 2 segments of equal length.
- There are 2 distinct points used to define each segment.
- Between these 2 distinct points, there is a midpoint for each segment.
- These midpoints divide the segments into smaller segments of equal length.
- repeat until throughly beaten
This leads to a description of an infinite amount of points for any given line segment.
This does not describe all the points of a line segment. Example: the points 1/3 of the distance from either of the the original 2 points are approached but never hit.
Please, feel free to rephrase this explanation. I know it's sloppy.
What else can I help you with?
How many points determine unique line?
2
How many points are needed to determine a unique line?
Two distinct (different) points are needed to determine a line.
How many points does a line have?
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.
How many points are needed to determine a unique plane?
A plane can be determined by three points, as long as the three points do not lie along a single line.
How many points are needed to define a unique plane Are they any restrictions on the location of these points?
A unique plane is defined by three non-collinear points. This means that the points must not all lie on the same straight line. If the three points are collinear or if only two points are given, they do not suffice to define a unique plane. Thus, the key restriction is that the three points must be non-collinear.
How many points determine unique line?
2
How many points are needed to determine a unique line?
Two distinct (different) points are needed to determine a line.
How many points does a line have?
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.
Are Points are named with lower case letters true or How many points determine a unique line?
2
How many points determine exactly one line?
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.
How many points are needed to determine a unique plane?
A plane can be determined by three points, as long as the three points do not lie along a single line.
What is the unique line postulate?
Unique line assumption. There is exactly one line passing through two distinct points.
How many ordered pairs are needed to draw a straight line?
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 set of three or more points not on the same line are points?
A set of three points not on the same line are points that define a unique plane.more than three points not on a plane are in a space (volume).
How many points are needed to define a unique plane Are they any restrictions on the location of these points?
A unique plane is defined by three non-collinear points. This means that the points must not all lie on the same straight line. If the three points are collinear or if only two points are given, they do not suffice to define a unique plane. Thus, the key restriction is that the three points must be non-collinear.
How many points a line have?
A line has an infinite amount of points.
Points a b and c are noncollinear . how many lines are determined by a b and c?
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.
