Question

1. select six possible rays.

Explanation:

Step1: Recall the definition of a ray

A ray has one endpoint and extends infinitely in one direction.

Step2: Analyze each option

• $\overrightarrow{AD}$: Point $A$ is an endpoint, but $D$ is not on the same line as the other collinear points. So, it is not a ray formed by the collinear points.
• $\overrightarrow{AC}$: Has endpoint $A$ and extends through $C$.
• $\overrightarrow{BA}$: Has endpoint $B$ and extends through $A$.
• $\overrightarrow{EC}$: Point $E$ is not on the line of collinear points. So, it is not a ray formed by the collinear points.
• $\overrightarrow{BC}$: Has endpoint $B$ and extends through $C$.
• $\overrightarrow{CB}$: Has endpoint $C$ and extends through $B$.
• $\overrightarrow{AB}$: Has endpoint $A$ and extends through $B$.
• $\overrightarrow{BF}$: Point $F$ is not on the line of collinear points. So, it is not a ray formed by the collinear points.
• $\overrightarrow{CA}$: Has endpoint $C$ and extends through $A$.

Answer:

$\overrightarrow{AC}$, $\overrightarrow{BA}$, $\overrightarrow{BC}$, $\overrightarrow{CB}$, $\overrightarrow{AB}$, $\overrightarrow{CA}$