One important use of coordinates is to communicate geometric information precisely. Let’s consider a quadrilateral $ABCD$ in the coordinate plane. Performing a dilation of $ABCD$ requires three vital pieces of information:

- The coordinates of $A$, $B$, $C$, and $D$
- The coordinates of the center of dilation, $P$
- The scale factor of the dilation

With this information, we can dilate the vertices $A$, $B$, $C$, and $D$ and then draw the corresponding segments to find the dilation of $ABCD$. Without coordinates, describing the location of the new points would likely require sharing a picture of the polygon and the center of dilation.