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

a straight line ..


What is the locus of points in space that are equidistant from two parallel planes?

A plane midway between the two given planes and parallel to them.


What is the locus of points in a plane equidistant from the sides of an angle?

A line that is the angle bisector.


How is the locus of points equidistant from two parallel lines in a plane constructed?

you dont


What is the locus of points in a plane that are equidistant from two fixed points?

I believe that is the definition of a straight line.


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


What geometric object is defined as a set of all points in a plane that are equidistant from the two sides of a given angle?

The geometric object defined as a set of all points in a plane that are equidistant from the two sides of a given angle is known as the angle bisector. This line divides the angle into two equal parts and represents the locus of points that maintain equal distance from both sides of the angle.


What is the locus of all points in a plane equidistant from two parallel lines in the plane?

It's another line, parallel to both of the first two and midway between them.


The set of all points in a plane equidistant from a given point?

a circle, centered at the given point.


Is a geometric figure in which all points in a plane are equidistant from a given point?

Math


What is the set of points in a plane that are equidistant from a given point known as the center?

circle


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.