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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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Are four points sometimes noncollinear?
yes. For example the corners of a square, or on the circumference of a circle.
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.
The number of noncollinear points needed to determine a circle?
Three.
Whit is the greatest number of planes determined by four noncollinear points?
8
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?
noncollinear
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.
How many points does a noncollinear plane has?
Any Euclidean plane has infinitely many points.
Can two points be noncollinear?
No. Any two points can be made to form a line.
How many noncollinear points does a plane contain?
3 or more
What are the number of noncollinear points needed to determine a circle?
3
