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which pair of lines are perpendicular?

Question

which pair of lines are perpendicular?

Explanation:

Step1: Recall the definition of perpendicular lines

Perpendicular lines are two lines that intersect at a right angle (90 degrees).

Step2: Analyze each pair of lines

  • First pair (top - left): The lines intersect but do not form a right angle.
  • Second pair (top - right): The lines (a vertical and a horizontal line) intersect at a right angle (90 degrees), so they are perpendicular.
  • Third pair (bottom - left): The lines meet at a point but do not form a right angle (they are more like intersecting at an acute angle).
  • Fourth pair (bottom - right): The lines are parallel (they do not intersect), so they can't be perpendicular.

Answer:

The pair of lines in the top - right box (the vertical and horizontal lines intersecting at a right angle) are perpendicular.