Question

Consider the conditional statement shown: "If a parallelogram has four right angles, then it is a square."

Which is the converse of the statement and its truth-value?

Option 1: If a parallelogram is not a square, then it does not have four right angles; true.
Option 2: If a parallelogram is not a square, then it does not have four right angles; true.
Option 3: If a parallelogram is a square, then it has four right angles; true.
Option 4: If a parallelogram is a square, then it has four right angles; true.

Answer 1

The converse of the given conditional statement is 'If a parallelogram is a square, then it has four right angles', which is true.

Step-by-step explanation:

The converse of the conditional statement 'If a parallelogram has four right angles, then it is a square' is 'If a parallelogram is a square, then it has four right angles'.

The truth-value of the converse of the statement is Option 4: If a parallelogram is a square, then it has four right angles; true.

In a conditional statement, the truth value of the original statement and its converse are not always the same. However, in this case, since all squares are parallelograms with right angles, the converse is true.