Question

Write the converse of the following statement. Then determine its validity.

Answer 1

The converse and the validity of the statement is:

• If a parallelogram is a rectangle, then the diagonals are congruent.
• TRUE.

The statement is given as:

If the diagonals of a parallelogram are congruent, then is the parallelogram is a rectangle

Considering the following statement

If a then b

Its converse is:

If b then a

So, the converse of the given statement is:

If a parallelogram is a rectangle, then the diagonals are congruent.

The diagonals of a rectangle are true.

Hence, the validity is true.

So, the true statement is (b)

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