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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.
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.
What figure is the locus of all points that are equidistant from two fixed points?
A line in 2D and a plane in 3D A perpendicular bisector of the line connecting the 2 given points
If a and b are two points in the plane the perpendicular bisector of a B is the set of all points equidistant from a and b true or false?
True. The perpendicular bisector of the segment connecting points ( a ) and ( b ) is defined as the set of all points that are equidistant from both ( a ) and ( b ). This line is perpendicular to the segment at its midpoint and ensures that any point on this line maintains equal distance to both endpoints.
What is the locus of points in a plane that are equidistant from points A and B in the plane?
a straight line ..
If R and S are two points in the plane the perpendicular bisector of RS is the set of all points equidistant from R and S?
True
If p and Q are two points in the plane. the perpendicular bisector of pq is the set of all points equidistant from p and q?
True
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.
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.
What figure is the locus of all points that are equidistant from two fixed points?
A line in 2D and a plane in 3D A perpendicular bisector of the line connecting the 2 given points
If a and b are two points in the plane the perpendicular bisector of a B is the set of all points equidistant from a and b true or false?
True. The perpendicular bisector of the segment connecting points ( a ) and ( b ) is defined as the set of all points that are equidistant from both ( a ) and ( b ). This line is perpendicular to the segment at its midpoint and ensures that any point on this line maintains equal distance to both endpoints.
Is it true or false If R And S Are Two Points In The Plane The Perpendicular Bisector Of RS Is The Set Of All Points Equidistant From R And S?
True
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.
What is the locus of points in a plane that are equidistant from points A and B in the plane?
a straight line ..
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 set all points in a plane that are equidistant from two points is a?
J
What is equatorial plane?
The plane, which passes through the equator of the earth, perpendicular to its axis of rotation, and equidistant from its poles -- is known as Euuatorial plane
