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question 2 rays: $overrightarrow{bd}$, $overrightarrow{ac}$, $overright…

Question

question 2
rays: $overrightarrow{bd}$, $overrightarrow{ac}$, $overrightarrow{ab}$
lines: $overleftrightarrow{ac}$
rays: $overrightarrow{bd}$, $overrightarrow{ab}$
lines: $overleftrightarrow{ac}$
rays: $overrightarrow{bd}$, $overrightarrow{ca}$, $overrightarrow{ac}$, $overrightarrow{ab}$
lines: $overleftrightarrow{ac}$
rays: $overrightarrow{bd}$, $overrightarrow{ab}$
lines: $overleftrightarrow{ac}$, $overrightarrow{bd}$, $overrightarrow{ab}$

Explanation:

Brief Explanations
  1. Identify Rays: A ray has one endpoint and extends infinitely in one direction.
  • $\overrightarrow{BD}$: Starts at B, extends through D infinitely.
  • $\overrightarrow{AB}$: Starts at A, extends through B infinitely.
  • $\overrightarrow{AC}$ is not a distinct ray here, as the line AC already has a bidirectional arrow (defining it as a line, not a ray from A). $\overrightarrow{CA}$ is also not a separate ray as AC is a full line.
  1. Identify Lines: A line extends infinitely in both directions, marked by double arrows.
  • $\overleftrightarrow{AC}$: The line through A and C with double arrows, so it is a line.
  • $\overrightarrow{BD}$ and $\overrightarrow{AB}$ are rays, not lines, as they only extend in one direction.

Answer:

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