# Three or more points that do not all lie on the same line are described as being what?

Collinear points is what it is called.

### In geometry is it true that through any three points exists exactly one line?

No, given any three points, it is possible for one of the points not to be on the line defined by the other two points. Only two points on a line are needed to identify the exact position of the line. The positions of any three points gives you the exact position of the plane that includes those three points. No, it is not true. If it were true, all triangles would be straight lines…

### 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…

### Is a parabola a line?

By the geometric definition of a line, it is represented by two points, and all points on the line are collinear, between or extrapolating to infinity from the straight line made by the two points. In other words, a line is straight, and can be represented by a binomial function (example: y=2x+1). A parabola is a function, but cannot be described mathematically as a line.

### In general how many planes are there which contain any number of given points?

There are no planes containing any number of given points. Two points not the same define a line. Three points not in a line define a plane. For four or more points to lie in the same plane, three can be arbitrary but not on the same line, but the fourth (and so on) points must lie in that same plane.

### When would three points not determine a plane?

A series of 3 points will always determine a plane unless 2 or all 3 points are identical points (they have the same coordinates). If the idea is to have the three points determine one plane, a unique plane, then three points will do that as long as none of them have the same spacial coordinates (have identical locations) or as long as the three points do not lie on a single line. If a…

### How many points is a regulation shot in a game of basketball?

If you shoot and make a basket inside the three point line or with your feet on the three point line it is worth two points. If you shoot and make a basket anywhere behind the three point line without your feet on the line it is worth three points. If you get fouled when you are shooting you go to the free throw line to shoot free throws. This is an uncontested, untimed shot…