Question

identify all rays and lines in the picture below.
rays: $overrightarrow{bd}$, $overrightarrow{ab}$
lines: $overrightarrow{ac}$
rays: $overrightarrow{bd}$, $overrightarrow{ab}$
lines: $overrightarrow{ac}$, $overrightarrow{bd}$, $overrightarrow{ab}$
rays: $overrightarrow{bd}$, $overrightarrow{ac}$, $overrightarrow{ab}$
lines: $overrightarrow{bc}$
rays: $overrightarrow{bd}$, $overrightarrow{ca}$, $overrightarrow{ac}$, $overrightarrow{ab}$
lines: $overrightarrow{ac}$

Explanation:

1. Rays definition: A ray has one endpoint and extends infinitely in one direction.

• $\overrightarrow{BD}$: Starts at $B$, goes through $D$ infinitely right.
• $\overrightarrow{AB}$: Starts at $A$, goes through $B$ infinitely right.
• $\overrightarrow{CA}$: Starts at $C$, goes through $A$ infinitely left.
• $\overrightarrow{AC}$: Starts at $A$, goes through $C$ infinitely right.

1. Lines definition: A line extends infinitely in two directions, defined by any two points on it. The only line here is $\overleftrightarrow{AC}$ (covers the entire horizontal line through $A, B, C, D$).

Answer:

Rays: $\overrightarrow{BD}$, $\overrightarrow{CA}$, $\overrightarrow{AC}$, $\overrightarrow{AB}$
Lines: $\overrightarrow{AC}$ (matches the last option provided)