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What are points that lie on the same line?
Colinear Points
Is 3 points coplanar colinear?
3 coplanar points may or may not be collinear. 3 collinear points must be coplanar.
What is the definition of coplanar points?
>Two points that lie on the same plane. Any pair of points on the plane will thus >form a line. (In most basic geometry classes, the majority of the class work is >only concerned with one plane) Any number of points can be coplanar. In fact, any 3 points are always coplanar, and if they are not colinear (all three on the same line), they define a unique plane.
How many straight lines can be formed with 10 non collinear points?
-- The beginning point of a line can be any one of the 10 points. For each of these ...-- The end point of the line can be any one of the remaining 9 points.So there are (10 x 9) = 90 ways to form a line with 2 of 10 non-colinear points.But once a line is drawn, there's no difference between it and the one that was drawn in the opposite direction between the same two points. So the 90 ways of forming lines actually produce (90 / 2) = 45 unique line segments.
What are noncoplanar points?
Noncoplanar points are points that do not lie on the same plane. If you have two rectangles joined together at points CD, then the rectangle at points ABCD have coplanar points but the points EF are not coplanar, that is, they do not lie on the plane defined by ABCD. On the other hand, the points CDEF are coplanar points but points AB are noncoplanar points. Dr Grips
