Question

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.

Answer 1

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.