Q: Can any straight line segment be extended indefinitely?

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a line can be indefinitely extended but a line segment is a part. a line segment cannot be extended:)

A segment only goes between 2 fixed points where a line goes on indefinitely

Euclid's first four postulates are:A straight line segment can be drawn joining any two points.Any straight line segment can be extended indefinitely in a straight line.Given any straight line segment, a circle can be drawn havibg the segment as radius and one endpoint as centre.All right angles are congruent. He also had the fifth postulate, equivalent to the parallel postulate. There are various equivalent versions.If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side, if extended far enough.The fifth postulate cannot be proven and, in fact, it is now known that it cannot be proven and that there are many internally-consistent geometries in which the negations of this postulate are true.

A line.

A continuous linear function produces a straight line graph that can be extended indefinitely in either direction. If the two ordered pairs are plotted on a graph then a straight line can be drawn joining these points. If that line is extended beyond both ends then there are no set limits and the function becomes continuous.

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a line can be indefinitely extended but a line segment is a part. a line segment cannot be extended:)

A straight line may be extended in either direction indefinitely. A ray is the part of the straight line beginning at a given point and extending limitlessly in one direction. A line segment is a part of the straight line between two of its points, including the two points.

that would be a line and lines do not exist in spherical geometry

A straight line segment can be drawn by joining any two points.A straight line segment can be extended indefinitely in a straight line.Given a straight line segment, a circle can be drawn using the segment as radius and one endpoint as center.All right angles are congruent.If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended far enough.

The five basic postulates of Geometry, also referred to as Euclid's postulates are the following: 1.) A straight line segment can be drawn joining any two points. 2.) Any straight line segment can be extended indefinitely in a straight line. 3.) Given any straight line segment, a circle can be drawn having the segment as a radius and one endpoint as the center. 4.) All right angles are congruent. 5.) If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles (or 180 degrees), then the two lines inevitably must intersect each other on that side if extended far enough. (This postulate is equivalent to what is known as the parallel postulate.)

LINE: A line is formed by joining of various points,which can be extended in both the directions.LINE SEGMENT: A line segment is a part of line, which has limitations i.e., it can not be extended in any direction.

The five basic postulates of Geometry, also referred to as Euclid's postulates are the following: 1.) A straight line segment can be drawn joining any two points. 2.) Any straight line segment can be extended indefinitely in a straight line. 3.) Given any straight line segment, a circle can be drawn having the segment as a radius and one endpoint as the center. 4.) All right angles are congruent. 5.) If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles (or 180 degrees), then the two lines inevitably must intersect each other on that side if extended far enough. (This postulate is equivalent to what is known as the parallel postulate.)

A segment only goes between 2 fixed points where a line goes on indefinitely

No, a line segment is a straight path that connects two points without any curves. A curved line, on the other hand, is not a line segment because it deviates from a straight path.

A vertical line goes straight up an down, so a vertical line segment is a line segment that goes straight up and down. Simple.

Because it will eventually complete a Circle, like the dachshund that met its end going round a lamp-post.

Euclid's first four postulates are:A straight line segment can be drawn joining any two points.Any straight line segment can be extended indefinitely in a straight line.Given any straight line segment, a circle can be drawn havibg the segment as radius and one endpoint as centre.All right angles are congruent. He also had the fifth postulate, equivalent to the parallel postulate. There are various equivalent versions.If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side, if extended far enough.The fifth postulate cannot be proven and, in fact, it is now known that it cannot be proven and that there are many internally-consistent geometries in which the negations of this postulate are true.