Question

a segment has endpoints s and v. what are two names for the segment?

choose the correct answer below.

\\(\overline{sv}\\) and \\(\overline{vs}\\)

\\(\overleftrightarrow{sv}\\) and \\(\overleftrightarrow{vs}\\)

\\(\angle sv\\) and \\(\angle vs\\)

\\(\overrightarrow{sv}\\) and \\(\overrightarrow{vs}\\)

Explanation:

Identify the geometric object

Using the Line Segments knowledge point, a line segment is a part of a line that is bounded by two distinct endpoints. The problem states that the segment has endpoints \(S\) and \(V\).

Determine the correct notation

Using the Geometric Notation knowledge point
A line segment is named by its two endpoints with a bar over them. Since the order of the endpoints does not matter for a segment, the segment with endpoints \(S\) and \(V\) can be named as either \(\overline{SV}\) or \(\overline{VS}\).

Analyze the incorrect options

Using the Geometric Notation knowledge point

• \(\overleftrightarrow{SV}\) and \(\overleftrightarrow{VS}\) represent the line passing through points \(S\) and \(V\).
• \(\angle SV\) and \(\angle VS\) represent angles, which require three points or a vertex.
• \(\overrightarrow{SV}\) and \(\overrightarrow{VS}\) represent rays, which have a specific starting point and extend infinitely in one direction.

Answer:

• (A) \(\overline{SV}\) and \(\overline{VS}\) (Correct answer)
• (B) \(\overleftrightarrow{SV}\) and \(\overleftrightarrow{VS}\)
• (C) \(\angle SV\) and \(\angle VS\)
• (D) \(\overrightarrow{SV}\) and \(\overrightarrow{VS}\)