Q. 24.2( 37 Votes )

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 :

We know that if the antecedent (if part) and consequent (then part) in a given conditional statement are interchanged, then the resulting statement is called the Converse.

So, the converses for the above statements are as follows:

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

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

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

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