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.

A transversal intersects two parallel lines. Prove that the bisectors of any pair of corresponding angles so formed are parallel.

If a transversal intersects two lines in such a way that a pair of consecuitive interior angles are supplementary; then two lines are parallel.

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

If a transversal line cuts two parallel lines then bisector of internal angle formed a

Theorem 6.5 : If a transversal intersects two lines such that a pair of interior angles on the same side of the transversal is supplementary, then the two lines are parallel.

If a Transversal intersects two lines in such a way that a pair of alternate interior angles are equal; then the two lines are parallel.

Write the converse of, "if the corresponding angles formed by a transversal of two lines are congruent, then two lines are parallel."

Theorem 6.3 : If a transversal intersects two lines such that a pair of alternate interior angles is equal, then the two lines are parallel.

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