false
I think you mean: Are any three points contained in exactly one plane? only if they're not collinear... I think
one plane LINE
Yes, since any line can be contained in a plane.
In plane geometry there is exactly one straight line through two points. There can be any number of curved lines.
Any three points will determine a plane, provided they are not collinear. If you pick any two points, you can draw a line to connect them. An infinite number of planes can be drawn that include the line. But if you pick a third point that does not lie on the line. There will be exactly one plane that will contain the line and that point you added last. Only oneplane can contain the line, which was determined by the first two points, and the last point.
I think you mean: Are any three points contained in exactly one plane? only if they're not collinear... I think
Yes, if you are talking about Euclidean geometry.
Yes, three non-collinear points are contained in exactly one plane. By definition, non-collinear points do not all lie on the same straight line, which allows them to define a unique plane. In geometry, any three points that are not collinear will always determine a single plane in which they lie.
If points p and q are contained in a plane, then the line segment connecting p and q also lies entirely within that plane. In Euclidean geometry, any two points define a straight line, and since both points are in the same plane, the entire line segment joining them must also be contained in that plane. Therefore, it is accurate to say that points p and q, along with all points between them, are entirely contained in the plane.
Yes.No. Any two planes will be contained in infinitely many planes, not "exactly one".
Yes, if points P and Q are contained in a plane, then the line segment connecting P and Q, denoted as PQ, is also entirely contained in that plane. This is a fundamental property of planes in Euclidean geometry, where any line segment formed by two points within the same plane must lie entirely within that plane. Therefore, the assertion is correct.
Collinear points
True. If points F and G are contained in a plane, then any line, segment, or avenue defined by those points must also lie entirely within that plane. A plane is defined as a flat, two-dimensional surface extending infinitely in all directions, and any geometric entities formed by points in that plane will also reside within it.
No. The tiniest piece of a plane contains an infinite number of points. But if you give us just three points, then we know exactly what plane you're talking about, and it can't be any other plane.
Yes a plane can always be drawn three any three points, whether they are linear or not.
one plane LINE
Yes, since any line can be contained in a plane.