Final answer:
The best classification for this quadrilateral is C. Trapezoid.
Step-by-step explanation:
The coordinates given are A(7,0), B(3,1), C(4,7), and D(8,6). To classify the quadrilateral, we can calculate the slopes of AB, BC, CD, and DA. A rectangle has opposite sides that are parallel and equal in length, so the slopes of AB and CD should be equal, and the slopes of BC and DA should be equal. However, in this case, the slopes are not equal, which means it is not a rectangle.
Next, we can calculate the distances between each pair of consecutive points. A parallelogram has opposite sides that are parallel and equal in length, so the distances between AB and CD should be equal, and the distances between BC and DA should be equal. In this case, the distances are not equal, so it is not a parallelogram either. Therefore, the best classification for this quadrilateral is Trapezoid.