complete the proof to show that abcd is a parallelogram.the slope of bc is . the slope of ad is . the slope of cd is . the slope of ba is . bc ∥ ad and cd ∥ ba because the . therefore, abcd is a parallelogram because both pairs of opposite sides are parallel.

If the opposite sides of any quadrilateral are parallel to each other, then the quadrilateral is entitled to a parallelogram. Thus, ABCD is a parallelogram.

The question is asked to prove the quadrilateral ABCD a parallelogram.

Now, If the opposite sides of any quadrilateral are parallel to each other, then the quadrilateral is entitled to a parallelogram. If the slope of lines is congruent to each other then the lines are parallel.

The formula for finding the slope of a line from the given coordinates and is mentioned below:

Therefore,

Now, the slope of AB is congruent to the slope of CD, and the slope of BC is congruent to the slope of AD.

Hence,

Thus, ABCD is a parallelogram.

To know more about the parallelograms, please refer to the link:

link

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step-by-step explanation:

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