Question

which statement is true about the segment connecting points b and c? the segment has a finite length that can be measured. there is only one way to name the segment. the segment extends infinitely in both directions. there are only two points on the entire segment.

Explanation:

Step1: Recall segment definition

A line - segment is a part of a line that is bounded by two distinct end - points.

Step2: Analyze each option

• A line - segment has a definite length that can be measured using a ruler or distance formula in a coordinate system. So, the statement "The segment has a finite length that can be measured" is true.
• A segment with endpoints \(B\) and \(C\) can be named as \(\overline{BC}\) or \(\overline{CB}\), so the statement "There is only one way to name the segment" is false.
• A line - segment is not a line, it does not extend infinitely in both directions. A line extends infinitely in both directions. So, the statement "The segment extends infinitely in both directions" is false.
• A line - segment contains infinitely many points between its two endpoints, not just two points. So, the statement "There are only two points on the entire segment" is false.

Answer:

The segment has a finite length that can be measured.