Write converses of the following statements. i. The alternate angles

1.	Write converses of the following statements. i. The alternate angles formed by two parallel lines and their transversal are congruent. ii. If a pair of the interior angles made by a transversal of two lines are supplementary, then the lines are parallel. iii. The diagonals of a rectangle are congruent.
Answer» i. If the alternate angles made by two lines and their transversal are congruent, then the two lines are parallel. ii. If two parallel lines are intersected by a transversal, then the interior angles formed by the transversal are supplementary. iii. If the diagonals of a quadrilateral are congruent, then that quadrilateral is a rectangle.

Write converses of the following statements. i. The alternate angles formed by two parallel lines and their transversal are congruent. ii. If a pair of the interior angles made by a transversal of two lines are supplementary, then the lines are parallel. iii. The diagonals of a rectangle are congruent.

Answer»

i. If the alternate angles made by two lines and their transversal are congruent, then the two lines are parallel.

ii. If two parallel lines are intersected by a transversal, then the interior angles formed by the transversal are supplementary.

iii. If the diagonals of a quadrilateral are congruent, then that quadrilateral is a rectangle.