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What is every point in a plane that is equidistant from the endpoints of a segment?
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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.
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 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 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.
What is the locus of points in a plane that are equidistant from points A and B in the plane?
a straight line ..
How many endpoints does a plane have?
i don't now
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.
How do you find equidistant points on a globe?
In spherical geometry we look at the globe as the sphere S^2. Any plane intersecting the sphere will create a great circle. Now if you take any point on the globe and reflect it across that plane, you have another point that is equidistant from the plane. The sets of all these points will be equidistant from the great circle.
What kind of lines are in the same plane if they have no common endpoints?
Parallel
