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-- 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.

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Whit is the greatest number of planes determined by four noncollinear points?

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Are four points sometimes noncollinear?

yes. For example the corners of a square, or on the circumference of a circle.


Connect Seven Noncollinear Points?

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.


Are four noncollinear points always coplanar?

No. For example, consider the vertices of a tetrahedron (triangle-based pyramid).


If four points are coplanar then they are noncollinear?

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.


Points that do not lie on the same line?

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What does three noncollinear points determine?

A plane


What does the math term noncollinear mean?

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.


Can two points be noncollinear?

No. Any two points can be made to form a line.


How many points does a noncollinear plane has?

Any Euclidean plane has infinitely many points.


What is a real life example of a noncollinear point?

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.


What are the number of noncollinear points needed to determine a circle?

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