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1. choose the correct answer. which lines are parallel? rs and nr ts an…

Question

  1. choose the correct answer.

which lines are parallel?
rs and nr
ts and qt
rs and ts
rs and qt

Explanation:

Step1: Recall the definition of parallel lines

Parallel lines are lines in a plane that do not intersect.

Step2: Analyze each option

  • For $\overleftrightarrow{RS}$ and $\overleftrightarrow{NR}$: These lines intersect at point $R$, so they are not parallel.
  • For $\overleftrightarrow{TS}$ and $\overleftrightarrow{QT}$: These lines intersect at point $T$, so they are not parallel.
  • For $\overleftrightarrow{RS}$ and $\overleftrightarrow{TS}$: These lines intersect at point $S$, so they are not parallel.
  • For $\overleftrightarrow{RS}$ and $\overleftrightarrow{QT}$: In the given figure (assuming it is a rectangular - prism - like figure), $\overleftrightarrow{RS}$ and $\overleftrightarrow{QT}$ do not intersect and are in the same orientation (based on the properties of the 3 - D shape's edges).

Answer:

$\overleftrightarrow{RS}$ and $\overleftrightarrow{QT}$