Follow these steps to prove the given quadrilateral is a parallelogram.

✓ 1. Determine the slope of AB:

✓ 2. Determine the slope of DC:

✓ 3. Determine the length of AB:

✓ 4. Determine the length of DC:

✓ 5. Because a pair of opposite sides is both parallel and congruent, ABCD is a parallelogram.