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Four points are always coplanar if they?
lie on the same plane and are collinear
Are three points always collinear?
No but they are always coplanar.
Are any two points coplanar?
Yes. Any two points are always coplanar.
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.
Are four noncollinear points always coplanar?
No. For example, consider the vertices of a tetrahedron (triangle-based pyramid).
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
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
Are three points always collinear?
No but they are always coplanar.
Are any two points coplanar?
Yes. Any two points are always coplanar.
Are 3 points collinear?
A set of 3 points will always be coplanar, but will only sometimes be collinear. Collinear points are always coplanar as well.
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!
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.
Are four noncollinear points always coplanar?
No. For example, consider the vertices of a tetrahedron (triangle-based pyramid).
Are a plane and a point not on the plane always coplanar?
No. In order to be coplanar, points have to be in the line.
