Two Points That Are Noncollinear

Although individual points have no features, when you grouping them, y'all can create several different types of points: collinear, not-collinear, coplanar, and non-coplanar. Each blazon merits an explanation:

• Collinear points: See the discussion line in collinear? Collinear points are points that lie on a line. Any two points are always collinear considering yous can always connect them with a directly line. Three or more points tin can be collinear, just they don't have to be. The above figure shows collinear points P, Q, and R which all lie on a unmarried line.

• Not-collinear points: These points, like points X, Y, and Z in the to a higher place figure, don't all prevarication on the same line.

  

• Coplanar points: A group of points that lie in the aforementioned plane are coplanar. Any two or three points are always coplanar. Four or more points might or might non be coplanar.

  The left side of the above effigy shows coplanar points A, B, C, and D. And in the box on the correct, at that place are many sets of coplanar points. Points P, Q, X, and Due west, for case, are coplanar; the airplane that contains them is the left side of the box. Each of the six faces of the box contains four coplanar points, only these are non the only groups of coplanar points. For instance points Q, Ten, S, and Z are coplanar even though the plane that contains them isn't shown; it slices the box in half diagonally.

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

  In the above figure, points P, Q, Ten, and Y are non-coplanar. The height of the box contains Q, X, and Y, and the left side contains P, Q, and X, simply no flat surface contains all four points.

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Two Points That Are Noncollinear,

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

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