two distinct lines l and m are each perpendicular to the same line n. select all the true statements. a lines l and m are perpendicular. b lines l and n are perpendicular. c lines m and n are perpendicular. d lines l and m are parallel. e lines l and n are parallel. f lines m and n are parallel.

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# Brief Explanations:
- For option A: If two lines are both perpendicular to a third line, they are parallel (in a plane), not perpendicular. So A is false.
- For option B: The problem states line $ l $ is perpendicular to line $ n $, so B is true.
- For option C: The problem states line $ m $ is perpendicular to line $ n $, so C is true.
- For option D: In a plane, two distinct lines perpendicular to the same line are parallel. So D is true.
- For option E: Line $ l $ is perpendicular to $ n $, not parallel. So E is false.
- For option F: Line $ m $ is perpendicular to $ n $, not parallel. So F is false.

# Answer:
B. Lines $ l $ and $ n $ are perpendicular.
C. Lines $ m $ and $ n $ are perpendicular.
D. Lines $ l $ and $ m $ are parallel.

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