By: Tedd Mikhail Ulit ( sori yan lang po yung NASA libro eh :))
The line, itself, is a subset (though not a proper subset).
A ray is a subset of a line with one end-point which extends in only one direction.
A line segment is a subset of a line with two end points.
A point is a subset of a line.
Finally, nothing is a subset (the null subset) of a line.
A set A is a subset of a set B if A is "contained" inside B.
A line has infinitely many subsets, not just three. Any collection of points on the line constitute a subset.
ray and segment
different subset of a line
We use words we know to define new terms in geometry. The words point, line and plane have no other words in geometry to describe them They are the building blocks.
define a subset
A set A is a subset of a set B if A is "contained" inside B.
A line has infinitely many subsets, not just three. Any collection of points on the line constitute a subset.
ray and segment
A subset of a line is a part of the line that consists of one or more points on the line. It is a portion of the line that may include endpoints or extend indefinitely in one or both directions.
The line, itself, is a subset (though not a proper subset). A ray is a subset of a line with one end-point which extends in only one direction. A line segment is a subset of a line with two end points. A point is a subset of a line. Finally, nothing is a subset (the null subset) of a line.
The line, itself, is a subset (though not a proper subset). A ray is a subset of a line with one end-point which extends in only one direction. A line segment is a subset of a line with two end points. A point is a subset of a line.
different subset of a line
We use words we know to define new terms in geometry. The words point, line and plane have no other words in geometry to describe them They are the building blocks.
It is a very basic concept which cannot be defined. Undefined terms are used to define other concepts. In Euclidean geometry, for example, point, line and plane are not defined.
A line segment would be a subset of a line. You wold draw two closed dots with a line joining them.
Elliptical geometry is like Euclidean geometry except that the "fifth postulate" is denied. Elliptical geometry postulates that no two lines are parallel.One example: define a point as any line through the origin. Define a line as any plane through the origin. In this system, the first four postulates of Euclidean geometry hold; through two points, there is exactly one line that contains them (i.e.: given two lines through the origin, there is one plane that contains them) and so on. However, it is nottrue that given a line and a point not on the line that there is a parallel line through the point (that is, given a plane through the origin, and a line through the origin, not on the plane, there is no other plane through the origin that is parallel to the given plane).