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3. look at the figure below. what two lines are perpendicular? a b c d

Question

  1. look at the figure below. what two lines are perpendicular?

a

b

c

d

Explanation:

Step1: Recall the definition of perpendicular lines

Perpendicular lines intersect at a right - angle (\(90^{\circ}\)).

Step2: Analyze each option

  • Option A: \(\overleftrightarrow{FG}\) and \(\overleftrightarrow{HJ}\) are parallel (vertical lines), not perpendicular.
  • Option B: \(\overleftrightarrow{FG}\) is vertical and \(\overleftrightarrow{MN}\) is horizontal. Vertical and horizontal lines intersect at \(90^{\circ}\).
  • Option C: \(\overleftrightarrow{HJ}\) and \(\overleftrightarrow{KL}\) are not at \(90^{\circ}\) to each other.
  • Option D: \(\overleftrightarrow{KL}\) and \(\overleftrightarrow{MN}\) are not at \(90^{\circ}\) to each other.

Answer:

B. \(\overleftrightarrow{FG}\), \(\overleftrightarrow{MN}\)