Two lines perpendicular to a same line are parallel.

True

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False

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Solution

The correct option is A
True

If two lines are perpendicular to a same line, they both are making an angle of $90^{\circ}$ with the line. Thus, they are parallel.

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Similar questions

Q. Parallel lines are two non - intersecting lines. State whether the statement is true or false.

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.

Q. State which of the following statements are true (T) or which are false (F):

(i) If two lines in the same plane do not interest, then they much be parallel.
(ii) Distance between two parallel lines is not same every where.
(iii) If m ⊥ i, n ⊥ i and m ≠ n, then m ∥ n.
(iv) Two non-intersection coplanar rays are parallel.
(v) If ray AB ∥ line , then line segment AB ∥ m.
(vi) If line AB ∥ line , then line segment AB ∥ m.
(vii) No two parallel segments intersect.
(viii) Every pair of lines is a pair of coplanar lines.
(ix) Two lines perpendicular to the same line are parallel.
(x) A line perpendicular to one of two parallel lines is perpendicular to the other.

State true or false:

Two lines perpendicular to another line are perpendicular to each other as well.

Q. Two lines l and m are perpendicular to the same line n. Are l and m perpendicular to each other?
If True enter 1 else if False enter 0

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Two lines perpendicular to a same line are parallel.

The correct option is A True If two lines are perpendicular to a same line, they both are making an angle of 90∘ with the line. Thus, they are parallel.

The correct option is A
True

If two lines are perpendicular to a same line, they both are making an angle of $90^{\circ}$ with the line. Thus, they are parallel.