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The locus of a moving point so that it is equidistant from another fixed point (i.e. the distance between them is always constant) is a circle.

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Locus of points equidistant from a point?

circle


What is the locus point equidistant from two points AB that are 8 cm apart?

The locus point is the perpendicular bisector of AB. The locus point is the perpendicular bisector of AB.


What is a locus of points equidistant from a point?

A locus of points is just the set of points satisfying a given condition. The locus of points equidistant from a point is a circle, since a circle is just a set of points which are all the same distance away from the center


Locus of all points in a plane equidistant from a given point?

A Circle.


A compass draws all points that are equidistant from a fixed point thereby creating a locus of points for a circle?

A circle is the locus of all points equidistant from a given point, which is the center of the circle, and a circle can be drawn with a compass. (The phrase "locus of points for a circle" does not seem to be conventionally defined.) or true


What is the point from which all points are equidistant?

This is the center, or locus, of a set of points, such as a curve or circle.


Locus of a point equidistant from two concentric circles?

Another circle midway between the originals.


What is mathematical phrase for a circle?

You can define a circle as the locus (set) of all points equidistant from a given point.


A example of how a sphere is similar to a circle?

A circle, rotated about any diameter, will generate a sphere with the same radius. A circle is the locus of all points in 2-dimensional space that are equidistant from a fixed point. A sphere is the locus of all points in 3-dimensional space that are equidistant from a fixed point.


Is it true that the locus of points idea can be used to define straight lines circles and even more complex shapes such as parabolas?

Yes, the locus of points concept can be used to define various geometric shapes. A straight line can be defined as the locus of points equidistant from two fixed points, while a circle is the locus of points equidistant from a single fixed point (the center). More complex shapes, such as parabolas, can also be defined as loci; for instance, a parabola can be described as the locus of points equidistant from a fixed point (the focus) and a fixed line (the directrix).


Locus of a point equidistant from two intersecting lines?

the pair of lines bisecting the angles formed by the given lines


Which point on the of an angle equidistant from the sides of the angle?

The point that is equidistant from the sides of an angle is called the angle bisector. This line divides the angle into two equal parts and is the locus of points that are equidistant from both sides. The intersection of the angle bisector with the interior of the angle is the specific point you are referring to.