Slope of AB = 2; Slope of DC = 2
Slope of AD = -1/2; Slope of BC = -1/2
Both pairs of opposite sides are parallel because they have the same slope, therefore, quadrilateral ABCD is a parallelogram.
<h3>What is a Parallelogram?</h3>
A parallelogram is a quadrilateral that has two pairs of opposite sides that have the same lengths and are parallel to each other.
Since the opposite sides of a parallelogram are parallel, therefore, they have the same slope value.
Slope = change in y / change in x.
Find the slope of AB and DC. then AD and BC:
Slope of AB = (-2 - 2)/(-3 -(-1)) = -4/-2
Slope of AB = 2
Slope of DC = (-3 - 1)/(-1 - 1) = -4/-2
Slope of DC = 2
Slope of AD = (-3 -(-2))/(-1 -(-3)) = -1/2
Slope of AD = -1/2
Slope of BC = (2 - 1)/(-1 - 1) = 1/-2
Slope of BC = -1/2
Therefore, since AB and DC have the same slope, they are parallel, so also is AD and BC parallel because they have the same slope, therefore, quadrilateral ABCD is a parallelogram.
Learn more about parallelogram on:
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