4. In the figure, points A, B, and Clie in plane Z. Which of the following postulates can be used to show that A and B are collinear?
O Through any two points, there is exactly one line.
O Through any three points not on the same line, there is exactly one plane.
O If two lines intersect, then their intersection is exactly one point.
o If two planes intersect, then their intersection is a line.

4 In the figure points A B and Clie in plane Z Which of the following postulates can be used to show that A and B are collinear O Through any two points there i class=

Respuesta :

Collinear points are points that lie on the same line.

The postulate to prove that A and B are collinear is: (a) Through any two points, there is exactly one line.

From the question, we understand that:

  • A, B and C are in plane Z
  • A and B are collinear

For A and B to be collinear, then:

A line must pass through A and B, in such a way that points A and B lie on that line

Because only one line can pass through any two points, the appropriate postulate to use is: (a) Through any two points, there is exactly one line.

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