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Q: The locus of points idea allows you to define objects in terms of points and given distances?
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The locus of points idea allows you to define geometric objects just by determining whether or not two distances are equal?

true


The locus of points idea allows one to define geometric objects using only the ability to determine if two distances are equal or not?

true


Does the locus of points idea allow you to define objects in terms of points and given distances?

It can allow you to define shapes but that is not quite the same thing as an object.


What does a scale do on amap?

It allows you to measure distances between two points.


Which geometric objects is define as the set of all points in a plane a a given distance from a given point?

Circle


What is the focus of a hyperbola?

The foci (plural of focus, pronounced foh-sigh) are the two points that define a hyperbola: the figure is defined as the set of all points that is a fixed difference of distances from the two points, or foci.


Does The locus of points idea allows you to define a circle without giving a numerical value for the radius?

Yes


How many points define a plan?

4 points define a plane.


Can two points determine a plane?

No, 2 points define a line, 3 points define a plane.


Does a plane have only two points?

No, two points define a line. It takes three points to define a plane.


The locus of points idea allows you to define a circle without giving a numerical value for the radius?

True


Is a point that helps to define an ellipse?

No there can never be a single point. But yes there are two such points called foci( each called focus) that helps to define an ellipse. An ellipse can then be defined as a curve which is actually the locus of all points in a plane,the sum of whose distances from two fixed points (the foci) is a given(positive)constant . This is further expressed mathematically to obtain the equation of an ellipse.