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What type of segment from a point to a line or plane is the shortest segment from the point to the line or plane?
A ray
Is a chalkboard a line segment or a plane?
A plane.
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 geometric object occupy one dimension Line Plane Ray Triangle Segment Point?
Line, Ray and segment
What segmant line or plane that intersect a segment at its midpoint?
It is a bisector.
What type of segment from a point to a line or plane is the shortest segment from the point to the line or plane?
A ray
Is a chalkboard a line segment or a plane?
A plane.
A segment line or plane that intersects a segment at its midpoint?
A Segment Bisector
What segment line or plane that intersects a segment at its midpoint?
It is a bisector.
Does a plane containing 2 points of a line contains the entire line?
Yes, a plane containing 2 points of a line contains the entire line. Let us consider two points on a plane and then draw a line segment joining those two points. Since the points lie on the plane so line segment has to lie completely on that plane too. Now if we extend the line segment indefinitely in both directions we get a line and that line also has to lie on the same plane since some definite part(line segment) of it(line) also lies on the same plane.
Is a taut piece of thread a point line line segment ray or plane?
None of them since a thread has a finite length and finite width. A point has neither length nor width whereas a line, line segment and ray do not have any width. A plane has infinite length and width. The nearest approximation is a line segment.
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 geometric object occupy one dimension Line Plane Ray Triangle Segment Point?
Line, Ray and segment
What segmant line or plane that intersect a segment at its midpoint?
It is a bisector.
What is a set of points that is endless in two directions a line ray plane or segment?
line
What is connecting two points on a plane?
A line segment would connect two points on a plane.
Points that lie on the same plane are called?
A line segment (sometimes just segment) is a pair of endpoints and all the points on a line between them.
