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Earn +20 ptsQ: Four points are always coplanar if?
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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).
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