Two lines l and m are perpendicular to the same line n. Are l and m parellel to each other. Explain it briefly

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Solution

No l and m will not be perpendicular but parallel to each other.
Because when two lines are perpendicular to the same line then two lines will be parallel to each other.

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Two lines that are perpendicular to the same line are parallel to each other.

If two straight lines are perpendicular to the same line, prove that they are parallel to each other.

Q. Prove that two lines perpendicular to same line are parallel to each other

Which of the following statements are true (I) and which are false (F)? Give reasons.
(i) If two lines are intersected by a transversal, then corresponding angles are equal.
(ii) If two parallel lines are intersected by a transversal, then alternate interior angles are equal.
(iii) Two lines perpendicular to the same line are perpendicular to each other.
(iv) Two lines parallel to the same line are parallel to each other.
(v) If two parallel lines are intersected by a transversal, then the interior angles on the same side of the transversal are equal.

The two lines that are respectively perpendicular to two parallel lines are parallel to each other.

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Two lines l and m are perpendicular to the same line n. Are l and m parellel to each other. Explain it briefly

No l and m will not be perpendicular but parallel to each other. Because when two lines are perpendicular to the same line then two lines will be parallel to each other.

No l and m will not be perpendicular but parallel to each other.
Because when two lines are perpendicular to the same line then two lines will be parallel to each other.