Question

use variables to name the figure shown. if more than one symbol is possible, give all possible names.
choose the correct answer below. select all that apply.
a. (overrightarrow{cb})
b. (angle bac)
c. (angle cab)
d. (overrightarrow{ac})
e. (overleftrightarrow{ab})
f. (overrightarrow{ab})

Explanation:

Step1: Identify figure types

First, recognize the figure is a ray starting at A, going through B, with a point C collinear after B. A ray is named by its endpoint first, then any other point on it. An angle is formed by two rays sharing an endpoint, which is not present here.

Step2: Validate each option

• A. $\overrightarrow{AB}$: Ray with endpoint A, passes through B. Valid.
• B. $\angle BAC$: This is an angle, but the figure is a ray, not an angle. Invalid.
• C. $\angle CAB$: This is an angle, not matching the ray figure. Invalid.
• D. $\overrightarrow{BA}$: Ray with endpoint B, opposite direction of the figure. Invalid.
• E. $\overrightarrow{AC}$: Ray with endpoint A, passes through C. Valid.
• F. $\overleftrightarrow{AB}$: This is a line (infinite both ways), but the figure is a ray. Invalid.

Answer:

A. $\overrightarrow{AB}$, E. $\overrightarrow{AC}$