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Is a segment an infinite set of points?
CIRCLE
What is the set of two fixed points and all points in between them?
It is a line segment.
Why can you not define a line as an infinate set of points?
An infinite set of points can be a microscopically small line segment. An infinite number of points does not mean an infinitely long line.
Given two points A and B in the three dimensional space what is the set of points equidistant from A and B?
A plane is the set of all points in 3-D space equidistant from two points, A and B. If it will help to see it, the set of all points in a plane that are equidistant from points A and B in the plane will be a line. Extend that thinking off the plane and you'll have another plane perpendicular to the original plane, the one with A and B in it. And the question specified that A and B were in 3-D space. Another way to look at is to look at a line segment between A and B. Find the midpoint of that line segment, and then draw a plane perpendicular to the line segment, specifying that that plane also includes the midpoint of the line segment AB. Same thing. The set of all points that make up that plane will be equidistant from A and B. At the risk of running it into the ground, given a line segment AB, if the line segment is bisected by a plane perpendicular to the line segment, it (the plane) will contain the set of all points equidistant from A and B.
is this statement true or falseA perpendicular bisector is the set of points that are equidistant from the endpoints of the bisected segment.?
true
What is a line segment a set of?
It is a set if infinitely many points.
Is a segment an infinite set of points?
CIRCLE
A set of points between two endpoints?
A line segment is a set of points between the two main end points. A line segment is always connected and has no open spaces.
What is the set of two fixed points and all points in between them?
It is a line segment.
What is a portion of a line that includes two points and all of the collinear points between the two points?
'Line Segment' is a portion of a line that includes two points and all of the collinear points between the hypothetical two points also 'Line Segment' because a line or line segment is a set of infinite points and the infinite points are collinear....
Why can you not define a line as an infinate set of points?
An infinite set of points can be a microscopically small line segment. An infinite number of points does not mean an infinitely long line.
Is a ray line segment or line longer?
Let's think of a line segment as a finite set of points. Along those lines, (pun intended) think of a ray and a line as infinite sets of points. Then we think of longer in terms of the size of the set. So for example, a 2 inch line segment would be longer than a 1 inch line segment because we can have more points in the set which is made of the two inch segment. The ray and the line are the same size since they both can be viewed as sets containing an infinite number of points. The line segment being a finite set is smaller than the other two.
Given two points A and B in the three dimensional space what is the set of points equidistant from A and B?
A plane is the set of all points in 3-D space equidistant from two points, A and B. If it will help to see it, the set of all points in a plane that are equidistant from points A and B in the plane will be a line. Extend that thinking off the plane and you'll have another plane perpendicular to the original plane, the one with A and B in it. And the question specified that A and B were in 3-D space. Another way to look at is to look at a line segment between A and B. Find the midpoint of that line segment, and then draw a plane perpendicular to the line segment, specifying that that plane also includes the midpoint of the line segment AB. Same thing. The set of all points that make up that plane will be equidistant from A and B. At the risk of running it into the ground, given a line segment AB, if the line segment is bisected by a plane perpendicular to the line segment, it (the plane) will contain the set of all points equidistant from A and B.
What is a set of points that is endless in two directions a line ray plane or segment?
line
How many points does a line segment have?
Infinite! When you speak of a "point" on a line segment, you're referring to infinitely small locations, not physical dots that you might draw on the segment. If you think of a "point" as being located at a certain distance from one of the end points of a 3 inch segment, such as 2.31 inches from the left side, you could always add more and more decimal places to the distance, such as 2.3173... to identify an infinite number of "points" or locations on the segment. A segment has 2 points one at the end and one at the beginning.**The answer as to how many points are on a line segment is "infinite". A given line segment is determined by it's two "end points", but has an infinite set of points between and including these two end points that make up the segment itself.
What does mean convex to the origin?
A set is said to be convex with respect to the origin if the line segment between any two points in the set lies entirely within the set. In simpler terms, for any two points within the set, all the points on the line joining them are also within the set.
How long is a line segment?
A line segment is a straight path between two points on a line. Its length is the distance between those two points.
