Question

which rays are part of line be?

and

and

and

and

Explanation:

Step1: Recall the definition of a ray

A ray has one endpoint and extends infinitely in one direction. A line has no endpoints and extends infinitely in both directions. A line can be thought of as being composed of two opposite - directed rays with the same initial point.

Step2: Analyze the rays in the context of line \(BE\)

For line \(BE\), we need to find two rays that together form line \(BE\). Ray \(\overrightarrow{AB}\) has endpoint \(A\) and goes through \(B\) (in the direction away from \(A\) towards \(B\) and beyond), and ray \(\overrightarrow{AE}\) has endpoint \(A\) and goes through \(E\) (in the direction away from \(A\) towards \(E\) and beyond). Since \(B\) and \(E\) are on the same line \(BE\) (with \(A\) being a point on the line), \(\overrightarrow{AB}\) and \(\overrightarrow{AE}\) are the two rays that form line \(BE\).

• For \(\overrightarrow{AC}\) and \(\overrightarrow{AE}\): \(\overrightarrow{AC}\) is not on line \(BE\).
• For \(\overrightarrow{AC}\) and \(\overrightarrow{AB}\): \(\overrightarrow{AC}\) is not on line \(BE\).
• For \(\overrightarrow{AB}\) and \(\overrightarrow{AF}\): \(\overrightarrow{AF}\) is not on line \(BE\).

Answer:

$\overrightarrow{AB}$ and $\overrightarrow{AE}$