Question

parallelogram ABCD has vertices A(-3, 1) B (3, 3) C (4, 0) and D(-2,-2) in two or more complete sentences explain how you can use the coordinates of the vertices to prove that parallelogram ABCD is a rectangle

Answer 1

A rectangle is a parallelogram which internal angles are all 90°

To find if the given parallelogram is a rectangle, we should:

• Find the slope of the segment AB

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• Find the slope of the segment BC

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• Multiply both results. If the product is -1, then AB and BC are perpendicular

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• Find the slope of DC

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• Find the slope of AD

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• If the slope of DC is equal to the slope of AB, both segments are parallel

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• If the slope of AD is equal to the slope of BC are equal, both segments are parallel

If all the conditions above are met, the parallelogram is a rectangle