Question

A city grid of Anytown, USA is shown on the grid below. The fire department is represented by quadrilateral RSTU. Another fire department is opening in a different part of the city to maximize fire protection. The size of the new department's property must be congruent to the older department. Vertices A and B are plotted on the grid below to represent two vertices of the new fire department quadrilateral ABCD:
What could be the ordered pairs representing vertices C and D of quadrilateral ABCD so that the new fire department is congruent to the old fire department?

Answer 1

The original fire department is 3  units wide and 4 units long.

The new fire deportment is also 3 units wide, so to be congruent, it needs to be 4 units long.

Point C would be (1,-5)

Point D would be (4,-5)

See attached picture.