Question

Select the statement that best justifies the conclusion based on the given information,
Conclusion: hand h intersect only at point P.
Aline 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

Answer:

The third statement is true reason.

Step-by-step explanation:

See the diagram given with this question.

The conclusion is that lines l₁ and line l₂ intersect only at point P.

A line contains at least two points - is not the reason for this conclusion.

Through any two different points, exactly one line exists - is also not the reason for the above conclusion because we are concerned about only P point here.

If two lines intersect, then exactly one plane contains both lines - is not the actual reason as there is no mention of a plane in the conclusion.

If two lines intersect, then their intersection is exactly one point - this gives the actual reason for the conclusion above and the only point of intersection of two lines l₁ and l₂ is point P only. (Answer)