Consider statement: if a quadrilateral is a rectangle then it is a parallelogram. wright the inverse and contrapositive of the original statement. are they true? explain.

Inverse- If a quadrilateral is not a rectangle, then it is not a parallelogram. 

Contrapositive- If a quadrilateral is not a parallelogram, then it is not a rectangle. 

The inverse is false- there are non-rectangular parallelograms. The contrapositive is true- a rectangle will always be a parallelogram, so if a shape isn't a parallelogram, it cannot be a rectangle.