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Which geometric object is defined as the set of all points in a plane that are equidistant from two points?
line
Which geometric is defined as the set of all point s in a plane that are equidistant from two points?
A 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.
What is the set of all points in a plane that are equidistant from a givin point called the center?
I believe that's a circle...
Which geometric object is defined as the set of all points in a plane that are equidistant from one point?
Parabola - apex
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.
Is the set of all points in a plane that are equidistant from a fixed point of the plane called the center?
That set of points forms what is known as a "circle".
Which geometric object is defined as the set of all points in a plane that are equidistant from two points?
line
Which geometric object is defined as the set of all points in a plane that are equidistant from the two sides of a given angle?
Bisector of an angle, is defined as the set of all points in a plane that are equidistant from the two sides of a given angle.
The set of all points in a plane equidistant from a given point?
a circle, centered at the given point.
Which geometric is defined as the set of all point s in a plane that are equidistant from two points?
A line.
Which geometric object is defined as the set of all points in a plane that are equidistant from a point and a line?
parabola
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.
How do you best describe a parabola?
The set of all points in a plane that are equidistant from a single point and a single line
Which geometric object is defined as the set of all points in a plane that are equidistant from one point?
Parabola - apex
What is the set of all points in a plane that are equidistant from a givin point called the center?
I believe that's a circle...
What conic section is defined by the set of all points in a plane that are equidistant from a single point and a line?
It is a parabola.
