Respuesta :

Answer:

A) True

B) True

C) False

Step-by-step explanation:

Knowing that the collinear points are all those that pass through a line, we have:

A) given two points they form a line, by themselves they are collinear  (graph 1)

B) Can be or not can be (graph 2)

C) Can be not must be (graph 3)

Ver imagen prozehus
Ver imagen prozehus
Ver imagen prozehus

We want to see if the given statements are true or false.

We will see that:

  • a) true
  • b) true
  • c) false.

What are collinear points?

Two or more points are collinear if we can draw a line that connects them.

Analyzing the statements:

A) Whit that in mind, the first statement is true, 2 points is all we need to draw a line, thus two different points are always collinear, so the first statement is true.

B) For the second statement suppose you have a line already drawn, then you can draw 4 points along the line, if you do that, you will have 4 collinear points, so yes, 4 points can be collinear.

C) For the final statement, again assume you have a line, you used 2 points to draw that line (because two points are always collinear). Now you could have more points outside the line, thus, the set of all the points is not collinear (not all the points are on the same line).

So sets of 3 or more points can be collinear, but not "must" be collinear, so the last statement is false.

If you want to learn more about collinear points, you can read:

https://brainly.com/question/13127256