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Earn +20 ptsQ: What is the set of all points all equidistant from one point?
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Is one continuous curved surface where all of its points are equidistant from a center point?
A sphere
Which geometric object is defined as the set of all points in a plane that are equidistant from one point?
Parabola - apex
How many points equidistant from all 3 sides of a triangle?
One.
Can you draw a circle through the four points of a trapezoid?
Yes, you can draw a circle through the four points of a trapezoid, because the four points of the trapezoid can be equidistant from one point, making that distance the radius.
How can you place 5 points on the surface of a sphere so that any point is equal distance to any other point?
You can't. It is impossible to have five equidistant points on a sphere, with the exception of trivial cases (i.e. where the radius is 0 or when one or more points are equal).
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