Which of the following statements are true (T) and which are false (F) ? Give reasons.

iii. Two lines perpendicular to the same line are perpendicular to each other.

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Solution

Two lines perpendicular to the same line are not perpendicular to each other but are parallel to each other.Hence, the given statement is false.

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Similar questions

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.

Q. Which of the following statements are true (T) and which are false (F) ? Give reasons.

iv. Two lines parallel to the same line are parallel to each other.

State true or false:

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

Q. Fill in the blank in each of the following to make the statement true:

iii. Two lines perpendicular to the same lines are to each other.

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Lines Perpendicular to the Same Line Are Parallel

Standard VII Mathematics

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Which of the following statements are true (T) and which are false (F) ? Give reasons.​ iii. Two lines perpendicular to the same line are perpendicular to each other.​

Two lines perpendicular to the same line are not perpendicular to each other but are parallel to each other.​Hence, the given statement is false. ​

Which of the following statements are true (T) and which are false (F) ? Give reasons.

iii. Two lines perpendicular to the same line are perpendicular to each other.

Two lines perpendicular to the same line are not perpendicular to each other but are parallel to each other.Hence, the given statement is false.