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What is a plane line segment?

A line segment is a piece of a line with endpoints at both ends. This can exist on a coordinate plane, which is a pointed selection at an origin.


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.


All the points on a plane that are equidistant from a single point?

All points on the circumference of a circle drawn on a plane are equidistant from the single point on the plane which is the center of the circle.


Which geometric object is defined as the set of all points in a Plane that are equidistant from 2 points?

The geometric object defined as the set of all points in a plane that are equidistant from two points is called the perpendicular bisector. This line is perpendicular to the segment joining the two points and bisects it, meaning it divides the segment into two equal parts. Any point on this line has the same distance to both of the original points.


How is the word 'circle' defined?

A circle is a plane figure consisting of a curve in which every point is equidistant from a fixed point called the center.

Related Questions

What is a plane line segment?

A line segment is a piece of a line with endpoints at both ends. This can exist on a coordinate plane, which is a pointed selection at an origin.


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.


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.


Points that lie on the same plane called?

A line segment (sometimes just segment) is a pair of endpoints and all the points on a line between them.


What is midpiont formula?

The midpoint formula is a formula used to find the midpoint of a line segment on a coordinate plane. It is calculated by averaging the x-coordinates of the endpoints and averaging the y-coordinates of the endpoints. The midpoint can be seen as the point that divides the line segment into two equal parts.


What is the set of all points in the plane equidistant from one point in the plane?

The set of all points in the plane equidistant from one point in the plane is named a parabola.


All the points on a plane that are equidistant from a single point?

All points on the circumference of a circle drawn on a plane are equidistant from the single point on the plane which is the center of the circle.


How many endpoints does a plane have?

i don't now


What is the locus of points in a plane that are equidistant from points A and B in the plane?

a straight line ..


How is the word 'circle' defined?

A circle is a plane figure consisting of a curve in which every point is equidistant from a fixed point called the center.


What is all the points in a plane equidistant from the center?

That's a circle around the center, in the plane.


What are all points in a plane equidistant from a given point?

All points in a plane that are equidistant from a given point form a circle. The center of the circle is the given point, and the radius is the constant distance from the center to any point on the circle. Thus, every point on this circle maintains the same distance from the center point.