Question

Fill in the blank with always, sometimes, or never. If there is not enough information, choose inconclusive.

Any three distinct points are ________ collinear

A. always
B. sometimes
C. never
D. inconclusive

Answer 1

B. Sometimes

Explanation:

It is required to complete 'Any three distinct points are ____ collinear'.

We know that two points form a line or a line segment.

Now, if we add a third point, it is not always true that the point will lie on the same line. It is possible that it is not lying on the line.

So, option A is discarded.

As, the point can also lie on the line gives that option C and D are not correct.

Hence, we get that 'Any three distinct points are SOMETIMES collinear'.

So, option B is correct.

Answer 2

The answer that would best complete the statement is option B. Sometimes. Any three distinct points are SOMETIMES collinear. Two points make a line; third can or can not be on the line. Hope this answers your question. Have a great day!