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:
Map of Anytown. The line y equals 7 is Main Road. The line y equals 3 is Rose Lane. The line y equals negative 1 is Crystal Ave

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? 


C(1, −3), D(4, −3)
C(1, −2), D(4, −2)
C(1, −4), D(4, −4)
C(1, −5), D(4, −5)

Answer 1

Since the starting and original place is a 4 x 3 rectangle, and the new position already has a side length of 3. We are now going to look for the two points that make a second side of 4. So, the points C(1, -5) and D(4, -5) satisfy the requirements.

Answer 2

C(1, -5), D(4, -5)

Hope this helped :)