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

Which of the following statements are true (T) 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 angle on the same side of the transversal are equal.

State which of the following statements are true (T) or which are false (F) If two lines in the same plane do not intersect, then they must be parallel. Distance between two parallel lines is not same everywhere. If m_|_l ,\ n\ _|_\ l and m\ !=n , then m n Two non-intersecting coplanar rays are parallel. No two parallel segments intersect. Every pair of lines is a pair of coplanar lines. Two lines perpendicular to the same line are parallel. A line perpendicular to one of two parallel lines is perpendicular to the other.

Theorem 6.6 : Lines which are parallel to the same line are parallel to each other.

If each of the two lines is perpendicular to the same line, what kind of lines are they to each other?

Two lines are respectively perpendicular to two parallel lines. Show that they are parallel to each other.

Two lines l and m , are perpendicular to the same line n. Are l and m perpendicular to each other? Give reason for your answer.

Two straight lines are cut by a transversal. If the bisectors of a pair of co-interior angles are perpendicular to each other , prove the two straight lines are parallel to each other.

Two charge of same nature are moving parallel to each other,they will

For what value of k , the two lines 3x - 5y = 4 and 6x - ky = 8 are parallel to each other?

Prove that two lines that are respectively perpendicular to two intersecting lines intersect each other .