Question

If A(0, 0), B(3, 3), C(9, 3), and D(6, 0) are the vertices of a quadrilateral, do the points form a parallelogram? Justify your answer.

A. Yes, it is a parallelogram because the slope of segment AB equals the slope of segment DC, which equals 1, and AB = DC = square root of 18.

B. Yes, it is a parallelogram because the slope of segment AB equals the slope of segment DC, which equals −1, and AD = CD = 3 units.

C. Yes, it is a parallelogram because the midpoint of the diagonals of segment AC and segment BD is (4.4, 1.5).

D. No, it is not a parallelogram because the slope of segment AB = 1 and the slope of segment DC = −1.

Answer 1

here's the picture of the quadrilateral
it's a parallelogram but I'm not completely sure about the answer
I think that C is the correct answer
the picture can help you to find the answer.
hope this helps