Question

a segment has endpoints p and r. what are two names for the segment?

choose the correct answer below.

\\(\vec{pr}\\) and \\(\vec{rp}\\)
\\(\overleftrightarrow{pr}\\) and \\(\overleftrightarrow{rp}\\)
\\(\overline{pr}\\) and \\(\overline{rp}\\)
\\(\angle pr\\) and \\(\angle rp\\)

Explanation:

Identify the geometric object and its endpoints

The object is a line segment with endpoints \(P\) and \(R\).

Analyze standard geometric notation

• A ray from \(P\) through \(R\) is denoted by \(\overrightarrow{PR}\).
• A line passing through \(P\) and \(R\) is denoted by \(\overleftrightarrow{PR}\).
• A line segment with endpoints \(P\) and \(R\) is denoted by \(\overline{PR}\) or \(\overline{RP}\).
• An angle is denoted by \(\angle\).

Match with the given options

• Option 1: \(\overrightarrow{PR}\) and \(\overrightarrow{RP}\) (Rays)
• Option 2: \(\overleftrightarrow{PR}\) and \(\overleftrightarrow{RP}\) (Lines)
• Option 3: \(\overline{PR}\) and \(\overline{RP}\) (Segments)
• Option 4: \(\angle PR\) and \(\angle RP\) (Angles)

Answer:

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