Question

Write the converse and contrapositive of 'If a parallelogram is a square, then it is a rhombus'.​

Answer 1

Converse: If it is a rhombus then a parallelogram is a square.

Contrapositive: If it is not a rhombus then a parallelogram is not a square.

• The given statement is "If a parallelogram is a square then it is a rhombus".

• Converse of a statement p → q is q → p.

• Contrapositive of a statement is p → q is ~q → ~p.

Here, p = A parallelogram is a square and q = It is a rhombus.

Answer 2

$\fontsize{18}{10}{\textup{\textbf{The converse and contrapositive are given below.}}}$

Step-by-step explanation:

The given statement is :

'If a parallelogram is a square, then it is a rhombus'.​

We know that if the conditional statement is "If p, then q", then

Converse is "Is q, then p"  and   Contrapositive is "If not q, then not p".

Therefore, the converse of the given statement is

"If a parallelogram is a rhombus, then it is a square"

and

contrapositive is

"If a parallelogram is not a rhombus, then it is not a square".

Thus, the converse is "If a parallelogram is a rhombus, then it is a square" and contrapositive is "If a parallelogram is not a rhombus, then it is not a square".