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 corresponding angles formed by a transversal with two given lines 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.

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.

Write the convers of each of the following statement. If the corresponding angles formed by a transversal of two lines are congruent, then 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."

Transversal to two parallel lines:

Write converses of the following statements: If a pair of the interior angles made by a transversal of two lines are supplementary then the lines are parallel.

Write converse of the following statement: If a pair of the interior angles made by a transversal of two lines are supplementary then the lines are parallel.

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.