-- The four corners of a square are non-collinear.
-- The four corners of a rectangle are non-collinear.
-- The four vertices of any rhombus, parallelogram, or quadrilateral are non-collinear.
-- Any four vertices of any polygon with more than 3 sides are non-collinear.
-- The three vertices of any triangle are non-collinear, and they stay that way
when you add any other point on the same piece of paper.
-- Any four points on any circle, ellipse, parabola, or hyperbola are non-collinear.
-- If at least one point is on a different floor of the house from the other three,
then the four points are non-collinear.
-- Make three dots on a piece of paper. Cover them up. Walk away for a few
minutes. Come back. Make another dot on the paper. Uncover the first three.
We're almost positive that the four dots are non-collinear.
yes. For example the corners of a square, or on the circumference of a circle.
A plane
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.
No. Any two points can be made to form a line.
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.
8
yes. For example the corners of a square, or on the circumference of a circle.
To connect seven noncollinear points, draw six line segments connecting each point to every other point. This will create a network of lines that connect all seven points without crossing or overlapping.
No. For example, consider the vertices of a tetrahedron (triangle-based pyramid).
They need not be. The four vertices of a quadrilateral are coplanar but NOT collinear. On the other hand, any line (in Eucledian geometry) has an infinite number of points on it - all of which are coplanar.
noncollinear
A plane
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.
No. Any two points can be made to form a line.
Any Euclidean plane has infinitely many points.
3
3