Question

The converse of the conditional statement "If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each other" is :

• A. If rhombus is a quadrilateral then its perpendicular bisectors are diagonals to each other.
• B. If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each other
• C. If the diagonals of a quadrilateral are perpendicular bisectors of each other then it is a rhombus.
• D. None of the above

Answer 1

The correct option is C If the diagonals of a quadrilateral are perpendicular bisectors of each other then it is a rhombus.

If the antecedent and consequent in a given conditional statement are interchanged, the resulting statement is called the converse of the given statement.
The converse of the conditional statement "If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each other" is, "If the diagonals of a quadrilateral are perpendicular bisectors of each other then it is a rhombus."