Angles made by a transversal with two lines - interior angles.

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

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

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 intersected by a transversal , then the interior angles on the same side of the transversal are -

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

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

State whether the statements are True or False. Interior angles on the same side of a transversal with two distinct parallel lines are complementary angles.