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CRITICAL THINKING Do any three points not on the same line always, sometimes, or never determine a plane? Explain.
O sometimes; The three points may be in three different planes.
O sometimes; Two points may be in one plane with the third point in another plane.
• always; There is exactly one plane through any three points not on the same line.
O
never; It takes at least four points to determine a plane.
O
never; A plane is made up of an infinite number of points.



Answer :

The right answer is  "always; There is exactly one plane through any three points not on the same line" indicated in the geometric plane.

What is geometric plane ?

  • In mathematics, a plane is a flat, two- dimensional face that extends indefinitely. A plane is the two- dimensional analogue of a point( zero confines), a line( one dimension) and three- dimensional space.
  • A plane shape is a two- dimensional unrestricted figure that has no consistence. A plane in figure is a flat face that extends into perpetuity in all directions. It has horizonless range and length, zero consistence, and zero curve.
  • It's actually delicate to imagine a plane in real life; all the flat shells of a cell or cuboid, flat face of paper are all real exemplifications of a geometric plane . In mathematics, a geometric plane is a flat, two- dimensional face that extends indefinitely.
  • A geometric plane is the two- dimensional analogue of a point( zero confines), a line( one dimension) and three- dimensional space.

Sometimes, the three points may be in three different planes:

sometimes; Two points may be in one plane with the third point in another plane.

always; There is exactly one plane through any three points not on the same line.

never; It takes at least four points to determine a plane.

never; A plane is made up of an infinite number of points.

The right answer is  "always; There is exactly one plane through any three points not on the same line" indicated in the geometric plane.

Learn more about geometric plane here:

https://brainly.com/question/17304015

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