Yes. In fact, given any three non-collinear points, there is one (and only one) circle that passes through all three points.
noncollinear
3
3
Three.
Noncollinear points are points which are not all on a common line.
Since collinear is points that lie on the same line, and you need two points to form a line so those 2 points are collinear. So the opposite of that is noncollinear.
yes. For example the corners of a square, or on the circumference of a circle.
This is a geometry term. It's a point that does not pass or lie on the same line as another point.
A plane. A circle can also pass through three non-co-linear points.
A real-life example of noncollinear points can be found in the layout of a triangular park. If you consider three trees planted at different corners of the park, those trees represent noncollinear points because they do not lie on the same straight line. Each tree's position forms a distinct vertex of the triangle, illustrating how noncollinear points can create shapes in a spatial context.
Yes. In fact any three points that are not collinear define a plane and therefore MUST lie on a plane.
In order for three or more points to be collinear, they must lie on the same line. Two points would always be collinear. Noncollinear are points that do not lie in the same line.