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No. For example, consider the vertices of a tetrahedron (triangle-based pyramid).
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Four points are always coplanar if?
all of them are collinear they lie in the same plane
Four points are always coplanar if they?
lie on the same plane and are collinear
Four points are always coplanar?
No. For any three points it is always possible to find a plane on which they all lie. A fourth point is most unlikely to be coplanar with the first three unless it is deliberately placed to be so.
If four points are collinear are they also coplanar.?
Yes, they are.
Whit is the greatest number of planes determined by four noncollinear points?
8
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.
Four points are always coplanar if?
all of them are collinear they lie in the same plane
4 points are always coplanar?
Three points are, but not four.
A line and a point not on the line are never coplanar?
No, they always are From Wikipedia.org, "The World's Encyclopedia" when I searched coplanar In geometry, a set of points in space is coplanar if the points all lie in the same geometric plane. For example, three distinct points are always coplanar; but four points in space are usually not coplanar. Since 3 points are always coplanar. A point and line are always coplanar
How many planes can be determined if the point noncollinear?
The answer depends on the number of point. One point - as the question states - cannot be non-collinear. Any two points are always collinear. But three or more points will define a plane. If four points are non-coplanar, they will define four planes (as in a tetrahedron).
What Four points are always coplanar if they?
If they lie in the same plane.
Four points are always coplanar if they?
lie on the same plane and are collinear
Four points are always coplanar?
No. For any three points it is always possible to find a plane on which they all lie. A fourth point is most unlikely to be coplanar with the first three unless it is deliberately placed to be so.
Is it true that the four coplanar points determine three unique plane?
No. If the four points are coplanar, they determine only one plane!
A triangle is a figure formed by three segments and four coplanar points?
No. A trinagle does not require four points, three are sufficient. And any three points, if they are not colinear, must be coplanar.
If four points are collinear they are also coplanar.?
Yes, they are.
If four points are collinear are they also coplanar.?
Yes, they are.
