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: <span>If two lines intersect, then their intersection is exactly one point
Explanation: Let's take a look at the choices: Choice A: </span><span>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: </span><span>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: </span><span>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: </span><span>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.
