Question

What are the converse, inverse and contrapositive of the statement? Which statements are true? Statement: If the figure is square, then the figure is quadrilateral

Answer 1

Conditional: If p, then q

Converse: If q, then p

Inverse: If not p, then not q.

Contrapositive: If not q, then not p.

Blow, p is bold; q is italic; not p is bold underline; not q is italic underline.

The truth value of each statement is bold, italic underline.

Conditional: If a figure is a square, then the figure is a quadrilateral.    True

Converse: If a figure is quadrilateral, then the figure is a square.   False

Inverse: If a figure is not a square, then the figure is not a quadrilateral.   False

Contrapositive: If a figure is not a quadrilateral, then the figure is not a square.   True