Consider statement: If a quadrilateral is a rectangle then it is a parallelogram. Wright the inverse and contrapositive of the o

Question

melamori03 [73]

3 years ago

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Consider statement: If a quadrilateral is a rectangle then it is a parallelogram. Wright the inverse and contrapositive of the o

riginal statement. Are they true? Explain.

Mathematics

1 answer:

RideAnS [48] · Answer 1 · 2022-07-21T23:27:18+03:00

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.