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circle, but the given end point is called the center of a circle : )

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โˆ™ 2013-04-22 22:56:39
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: The set of all points in a plane that are the same distance from a given point?
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What is a set of points in a plane that are all the same distance from a given point?

In 2-dimensional space, a circle. In 3-dimensional space, a sphere.


Are all radii of a circle congruent?

Yes. That is obvious from the definition of a circle (or one possible definition): the set of all points in a plane that are at the same distance from a given point (the center of the circle).


What is the definition of ellipse in math terms?

It is the locus of a point such that the sum of its distance from two (distinct) fixed points is a constant. So, given two fixed points, F1 and F2, an ellipse is the locus of the point P such that PF1 + PF2 is a constant. That would be an ellipsoid, a 3 dimensional thing. The 2 distances have to be measured in a fixed (2 dimensional) plane.


Why do you get circle shape if you rotate any shapes?

A circle is the set of all the points that have the same distance from a given point (its center). If you rotate a shape, you rotate it in such a way that you keep any point a fixed distance from the center of rotation.


What three points determine a plane?

Any three points will determine a plane, provided they are not collinear. If you pick any two points, you can draw a line to connect them. An infinite number of planes can be drawn that include the line. But if you pick a third point that does not lie on the line. There will be exactly one plane that will contain the line and that point you added last. Only oneplane can contain the line, which was determined by the first two points, and the last point.

Related questions

What is a set of points in a plane that are a given distance from a given point in a plane?

a circle


Which geometric object is defined as the set if all points in a plane at a given distance at a given point?

A circle is the set of all points in a plane at a given distance FROM a given point, which is known as the circle's center.


What is a set of points in a plane that are the same distance from a given point in the plane?

They are points on the circumference of a unique circle in the plane.


What is the definition of circle?

A circle is a simple shape of Euclidean geometry consisting of those points in a plane that are a given distance from a given point, the center.simplified, it is all the points on a plane that are the same distance from a given point.


A circle is the collection of points in a plane that are the same distance from a given point in the plane?

true


What is the set of points in a plane at a fixed distance from a given point?

CIRCLE


What is the set of all points in a plane that are a given distance from a given point?

That's a "circle". The given distance is the circle's radius, and the given point is the circle's center.


What is the set of points in a plane at a given distance from a given point in that plane?

These point are usually called loci as they are defined by a give set of rules.


What is a set of all of points in a plane that are the same distance from a given point?

circle


Sequence of all points in a plane that are the same distance from a given point?

That is a circle.


What is the set of points in a plane that are given distance from a point?

That's a figure called a "circle". The given distance is the circle's radius, and the point is its center.


Which term describes the collection of all points in a plane that are the same distance from a given point in the plane?

circle

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