If two lines are intersected by a transversal; the bisectors of any pair of alternate interior angles are parallel.

If two parallel lines are intersected by a transversal then prove that the bisectors of any pair of alternate interior angles are parallel.

If two parallel lines are intersected by a transversal; the bisector of any two corresponding angles are parallel.

If two parallel lines are intersected by a transversal, prove that the bisectors of the two pairs of interior angles enclose a rectangle.

If two parallel lines are intersected by a transversal,prove that the bisectors of the interior angles on the same side of transversal intersect each other at right angles.

If two parallel lines are intersected by a transversal,prove that the bisectors of the interior angles on the same side of transversal intersect each other at right angles.

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

If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of the transversal is

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.

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 two parallel lines are cut by a transversal, then the alternate interior angles are equal