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Question

Write the converse of the conditional statement "If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each other".
[2 Marks]
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->

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Solution

If the antecedent and consequent in a given conditional statement are interchanged, the resulting statement is called the converse of the given statement. [1 Mark]

The converse of the conditional statement "If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each other" will be, "If the diagonals of a quadrilateral are perpendicular bisectors of each other then it is a rhombus". [1 Mark]

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