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The shape described is a plane, which is a two-dimensional surface that extends infinitely in both width and length. In geometry, a plane can be uniquely determined by any three non-collinear points on the plane. This is known as the "three-point" or "unique determination" property of a plane. The three points define the plane's orientation and position in three-dimensional space.
What else can I help you with?
Do planes contain ponts and lines?
A point is a single spot in space. A line is the connection between two points. A plane is the space made up between three or more lines. A plane has infinite lines and therefore infinite points.
How many non-collinear points are there in one plane?
There are an infinite number of any kind of points in any plane. But once you have three ( 3 ) non-collinear points, you know exactly which plane they're in, because there's no other plane that contains the same three non-collinear points.
What is the greatest number of line segments determined by six coplanar points when no three are collinear?
6*5/2 = 15.
Can three points determined a plane?
Yes, three points determine a plane unless they are in a straight line. A plane is two dimensions a line is only one. You need a third point(not in the line) to define a plane.
What would happen if three collinear points are used to define a plane?
Three collinear points don't define a plane."Define" means narrow it down to one and only one unique plane, so that it can't be confused with any other one.There are many different planes (actually infinite) that can contain three collinear points, so no unique plane is defined.
What has infinite width and length and can be determined by three points?
A plane.
What has width and length and can be determined by three points?
A plane.
How many different lines are determined by 3 non collinear points?
Any three non-collinear points will define a single plane. A plane is composed of an infinite number of distinct lines.
How many planes contains three collinear points?
infinite
How many lines are determined by A B and C?
Three lines are determined by three points unless the points are all on the same line ( i.e. co-linear)
Which of these is determined by three points that are not on the same line?
plane
Which of these is determined by three points that are not the same line?
A plane.
The greatest number of planes that can pass through three collinear points?
You can have an infinite number of planes passing through three collinear points.
How many points are needed to determine a unique plane?
A plane can be determined by three points, as long as the three points do not lie along a single line.
How many points make a plane?
It takes three points to make a plane. The points need to be non-co-linear. These three points define a distinct plane, but the plane can be made up of an infinite set of points.
How many planes are determined by 5 points three are not collinear?
10!
How many planes are determined by three distinct points that are not on the same line?
one
