Are 4 Points Always Coplanar

Although individual points take no features, when you group them, yous tin can create several unlike types of points: collinear, non-collinear, coplanar, and non-coplanar. Each type merits an caption:

• Collinear points: Run across the word line in collinear? Collinear points are points that lie on a line. Whatsoever two points are ever collinear because you lot can always connect them with a straight line. 3 or more points can exist collinear, but they don't accept to be. The above effigy shows collinear points P, Q, and R which all prevarication on a single line.

• Non-collinear points: These points, like points X, Y, and Z in the above figure, don't all lie on the aforementioned line.

  

• Coplanar points: A grouping of points that lie in the aforementioned aeroplane are coplanar. Any 2 or three points are always coplanar. 4 or more points might or might not be coplanar.

  The left side of the above figure shows coplanar points A, B, C, and D. And in the box on the right, there are many sets of coplanar points. Points P, Q, X, and West, for example, are coplanar; the plane that contains them is the left side of the box. Each of the six faces of the box contains iv coplanar points, just these are not the but groups of coplanar points. For instance points Q, X, Southward, and Z are coplanar even though the plane that contains them isn't shown; information technology slices the box in half diagonally.

• Non-coplanar points: A group of points that don't all lie in the same airplane are non-coplanar.

  In the higher up figure, points P, Q, X, and Y are non-coplanar. The pinnacle of the box contains Q, X, and Y, and the left side contains P, Q, and X, but no flat surface contains all four points.

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Are 4 Points Always Coplanar,

Source: https://www.dummies.com/article/academics-the-arts/math/geometry/getting-to-know-points-190916/

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