Question

Select the statement that best justifies the conclusion based on the given information.

A) Definition of midpoint.
B) Definition of line segment.
C) If two lines intersect, then their intersection is exactly one point.
D) Substitution Property.

Answer 1

The statement that best justifies the conclusion based on the given information is C) If two lines intersect, then their intersection is exactly one point.

Step-by-step explanation:

The statement that best justifies the conclusion based on the given information is C) If two lines intersect, then their intersection is exactly one point.

This statement is true because according to the definition of lines, they extend infinitely in both directions and can intersect at only one point. If they were to intersect at more than one point, they would not be considered lines.

For example, if two lines A and B intersect at point P, they cannot intersect at any other point because each point in space can be uniquely identified by its coordinates. Therefore, the intersection of two lines is always a single point.