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which pair of lines are parallel?

Question

which pair of lines are parallel?

Explanation:

Step1: Recall parallel lines definition

Parallel lines are lines in a plane that do not intersect, and their slopes (or directions) are equal. Visually, they should be equidistant and never meet, with the same direction (same angle relative to a reference).

Step2: Analyze each figure

  • Top - left: Two pairs of intersecting lines (they cross), so not parallel.
  • Top - right: Perpendicular lines (intersect at 90 degrees), not parallel.
  • Bottom - left: Lines are converging (will intersect if extended), not parallel.
  • Bottom - right: Lines have the same direction, are equidistant, and will never intersect. So these are parallel.

Answer:

The pair of lines in the bottom - right figure (the last figure with two arrows having the same slope and direction) are parallel.