### Home > CCG > Chapter 7 > Lesson 7.3.3 > Problem7-146

7-146.

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?

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.

If $E$ is a midpoint of $\overline{CD}$, their diagonals would be perpendicular bisectors.