Question

which of the following is not an appropriate name for the line? choose an inappropriate name for the given line. a. $overleftrightarrow{oq}$ b. n c. $overleftrightarrow{p}$ d. $overleftrightarrow{qp}$ e. $overleftrightarrow{pq}$ f. $overleftrightarrow{po}$ g. $overleftrightarrow{qo}$ h. $overleftrightarrow{op}$

Explanation:

Step1: Recall line - naming conventions

A line can be named by a single lowercase letter (like \(n\)) or by two points on the line with a double - headed arrow above them.

Step2: Analyze each option

• Option A: \(\overleftrightarrow{OQ}\) is a valid name as it uses two points \(O\) and \(Q\) on the line.
• Option B: \(n\) is a valid single - letter name for the line.
• Option C: \(\overleftrightarrow{P}\) is not a valid name. A line must be named by two points or a single lowercase letter, not by a single point with a double - headed arrow.
• Option D: \(\overleftrightarrow{QP}\) is a valid name using two points \(Q\) and \(P\) on the line.
• Option E: \(\overleftrightarrow{PQ}\) is a valid name using two points \(P\) and \(Q\) on the line.
• Option F: \(\overleftrightarrow{PO}\) is a valid name using two points \(P\) and \(O\) on the line.
• Option G: \(\overleftrightarrow{QO}\) is a valid name using two points \(Q\) and \(O\) on the line.
• Option H: \(\overleftrightarrow{OP}\) is a valid name using two points \(O\) and \(P\) on the line.

Answer:

C. \(\overleftrightarrow{P}\)