Question

Select the statement that best justifies the conclusion based on the given information. Conclusion: l1 and l 2 intersect only at point P. A line contains at least two points. Through any two different points, exactly one line exists. If two lines intersect, then their intersection is exactly one point. If two lines intersect, then exactly one plane contains both lines.

Answer 1

If two lines intersect, then their intersection is exactly one point.

Step-by-step explanation:

Answer 2

Answer:
If two lines intersect, then their intersection is exactly one point

Step-by-step explanation:
Let's take a look at the choices:
Choice A: A line contains at least two points.
The statement is true. However, it is not related to intersection between lines. Therefore, this choice is wrong

Choice B: Through any two different points, exactly one line exists
This postulate is true. However, it does not relate directly to the intersection between lines. Therefore, this choice is wrong

Choice C: If two lines intersect, then their intersection is exactly one point.
This statement is known as theorem 1-1. It describes the intersection between two lines.
Therefore, this statement is correct.

Choice D: If two lines intersect, then exactly one plane contains both lines.
The conclusion given is related to points created due to intersection between lines. This option is therefore excluded as it describes planes.

Hope this helps :)