A carpenter is making a shelf in the shape of a parallelogram. She begins by drawing parallelogram RSTU on a coordinate plane with vertices R(1,0),S(-4,0), and T (-2,3). What are the coordinate of vertex U?
The distance from R to S is 5 units straight across.
This means the slope from T to U will be 0, and it will be a horizontal segment. This means the y-coordinate of U will be 3, since the y-coordinate of T is 3.
The distance from T to U will be 5 as well; -2+5 = 3 for the x-coordinate.