a. Show that (1, 2), (–2, 6), (5, 8), and (8, 4) are the vertices of a parallelogram. [Hint: Use Exercise 1.]
b. Find (x, y) assuming that (3, 2), (6, 3), (x, y), and (6, 5) are the vertices of a parallelogram.
Exercise 1
Prove that if the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. [Hint: Choose (0, 0), (a, 0), (b, c), and (x, y) as the vertices of a quadrilateral and show that x = b – a, y = c.]
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