CEOMETR' A delivery truck has a route that can be described by quadrilateral \( A B C D \). The slope of \( \overline{A B} \) is equal to the slope of \( \overline{D C} \). Is this statement true or false? \( A B C D \) is a parallelogram.

The statement is true! If the slopes of \( \overline{A B} \) and \( \overline{D C} \) are equal, it indicates that these sides are parallel, which is a key property of a parallelogram. In a parallelogram, opposite sides are both equal and parallel, so this condition supports the conclusion that quadrilateral \( A B C D \) indeed forms a parallelogram. Additionally, knowing about the properties of quadrilaterals can often lead you down a rabbit hole of geometric fun! For instance, if you know one pair of opposite sides are equal and parallel, you've got yourself a parallelogram. But wait, there's more! If all angles are right angles, you’ve got a rectangle; if all sides are equal, you’ve found a rhombus. So many possibilities to explore!