Question

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 1

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.