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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 a line have?
A line has an infinite amount of points.
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 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.
A plane can be determined by how many points that are not on the same line?
A plane can be determined by three points that are not on the same line. These three non-collinear points define a unique flat surface in three-dimensional space. Any additional points in the same plane will also lie on that surface, but the three points are sufficient to establish the plane's existence.
