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What is the locus of points in a plane equidistant from the sides of an angle?
Wiki User
∙ 15y ago
A line that is the angle bisector.
Wiki User
∙ 15y ago
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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.
Although the locus of points idea can be used to define a straight line and circle more complex shapes such as parabolas must be defined a different way. True or False?
Certainly false for parabolae; a parabola is the locus of points in a plane which are equidistant from a point (the focus) and a line (the directrix) in that plane. It's also false for an ellipse, which is the locus of points in a plane where the sum of the distances from two other points in that plane (the foci) is constant. AND false for a hyperbola, which is the locus of points in a plane where the absolute value of the DIFFERENCE in the distance from two points in that plane (also the foci) is constant. Alternatively, a hyperbola is the locus of points in a plane where the ratio of the distance to one of the foci and to a line (the directrix) is constant (which is larger than 1; if it's exactly equal to 1, you get a parabola instead).All of these are only slightly more complicated than circles, and in fact they, alone with circles, are called "conic sections" because they all are formed by the intersection of a plane with a right circular conical surface.
What is all the points in a plane equidistant from the center?
That's a circle around the center, in the plane.
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".
Is a geometric figure in which all points in a plane are equidistant from a given point?
Math
What is the locus of points in a plane that are equidistant from points A and B in the plane?
a straight line ..
Locus of all points in a plane equidistant from a given point?
A Circle.
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.
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.
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 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 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.
Which geometric object is defind as the set of all points in a plane that are equidistant from the two sides of a given angle?
angle bisector
Which of the following best describes a bisector of an angle?
The set of all points in a plane that are equidistant from the two sides of a given angle
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.
