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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).
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.
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.
How do you find a point equidistant from three other points?
To find a point equidistant from three other points, construct perpendicular bisectors for two of the segments formed from three points. Note: this will be the center of the circle that has all three points on it's circumference. Three points, not in a straight line, form three pairs of points with each pair defining a different line. Take any pair of points and draw the perpendicular bisector of the line joining them. Repeat for one of the other pairs. These two perpendicular bisectors will meet at the point which is equidistant from all three points - the circumcenter of the triangle formed by the three points.
Points A and B are 6 units apart How many points are equidistant fomr A and B and 2 units from A?
None. If a point is 2 units from 'A' and equidistant from 'A' and 'B', then it also has to be2 units from 'B'.But the shortest distance between 'A' and 'B' is 6 units, and the point on that line that's equidistantfrom both of them is the point in the middle, which is 3 units from each.So a point equidistant from 'A' and 'B' must be 3 or more units from each one. 2 units won't do it.
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.
Which geometric object is defined as the set of all points in one plane that are equidistant from two points?
Parallel lines could fit the given criterior
Halfway points?
What is the halfway point from Richmond, VA to Pittsburgh, PA
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).
How do you find the equidistant point for a straight line?
The equidistant point of a straight line is the middle. Measure the distance from one end to the other and half it.
Is it true that all points of a sphere are equal distances to its center.?
Yes, it is true. In a perfect geometric sphere, all points on its surface are equidistant from its center. This property is one of the defining characteristics of a sphere.
