Question

1. select all that apply:

which of the following is a line?

a
\\(\overrightarrow{jk}\\)
\\(\mathfrak{r}\\)
\\(\overleftrightarrow{jk}\\)

Explanation:

Identify geometric notation for a line

Using the Geometric Notation and Undefined Terms knowledge points

• A point is named by a single capital letter, such as \(A\).
• A line can be named by a single lowercase letter, usually italicized, or by two points on the line with a double-sided arrow above them.
• The notation \(\overleftrightarrow{JK}\) represents a line passing through points \(J\) and \(K\).
• The notation \(\overleftrightarrow{jk}\) is incorrect because points must be capitalized.
• The script letter \(\mathcal{R}\) (or \(\Re\)) is typically used to name a plane.

Evaluate the given options

Using the Geometric Notation knowledge point

• Option 1: \(A\) represents a point.
• Option 2: \(\overleftrightarrow{JK}\) represents a line.
• Option 3: \(\mathcal{R}\) represents a plane.
• Option 4: \(\overleftrightarrow{jk}\) uses lowercase letters for points, which is incorrect.

Answer:

• (A) \(A\)
• (B) \(\overleftrightarrow{JK}\) (Correct answer)
• (C) \(\mathcal{R}\)
• (D) \(\overleftrightarrow{jk}\)