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.

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Mathematics

Lincoln

15 March, 23:57

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.

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Esteban Wade · 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.