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.

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

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

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

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

Two vectors vecP and vecQ that are perpendicular to each other if :

If two parallel lines intersected by a transversal; prove that the bisectors of the two pairs of interior angle encloses a rectangle.

If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then prove that the two lines are parallel.

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.

If the bisectors of a pair of corresponding angles formed by a transversal with two given lines are parallel;prove that the given lines are parallel.

If the bisectors of a pair of alternate angles formed by a transversal with two given lines are parallel, prove that the given lines are parallel.