Question

question 2
identify all rays and lines in the picture below.
rays: $overrightarrow{bd}$, $overrightarrow{ab}$
lines: $overleftrightarrow{ac}$, $overrightarrow{bd}$, $overrightarrow{ab}$
rays: $overrightarrow{bd}$, $overrightarrow{ac}$, $overrightarrow{ab}$
lines: $overleftrightarrow{ac}$
rays: $overrightarrow{bd}$, $overrightarrow{ab}$
lines: $overleftrightarrow{ac}$
rays: $overrightarrow{bd}$, $overrightarrow{ca}$, $overrightarrow{ac}$, $overrightarrow{ab}$

Explanation:

Step1: Define rays and lines

A ray has 1 endpoint, extends infinitely in 1 direction. A line has no endpoints, extends infinitely in 2 directions.

Step2: Identify rays from the diagram

$\overrightarrow{BD}$ has endpoint $B$, goes through $D$; $\overrightarrow{AB}$ has endpoint $A$, goes through $B$. $\overrightarrow{AC}$ is not a ray (it's part of a line).

Step3: Identify lines from the diagram

$\overleftrightarrow{AC}$ extends infinitely in both directions (left from $A$, right from $C$). $\overleftrightarrow{BD}$ and $\overleftrightarrow{AB}$ are not lines (they are rays/segments, do not extend infinitely in two directions).

Answer:

Rays: $\overrightarrow{BD}, \overrightarrow{AB}$
Lines: $\overleftrightarrow{AC}$