Suppose $ADBC$ is a quadrilateral and the diagonal $\overline{AB}$ lies on $y=-\frac{4}{3}x+5$ and diagonal $\overline{CD}$ lies on $y=\frac{3}{4}x-1$. Assume the diagonals intersect at point $E$.  

1. Without graphing, what is the relationship between the diagonals? How do you know?

   Hint (a):

   Examine each line's slope to determine the relationship between the two lines.

2. Graph the lines on graph paper. If $E$ is a midpoint of $\overline{CD}$, what type of quadrilateral could $ADBC$ be? Is there more than one possible type? Explain how you know.

   Hint (b):

   The diagonals are perpendicular. At least one of the diagonals is bisected.