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 6 is Main Road. The line y equals 3 is Rose Lane. The line y equals negative 5 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? (4 points)

C(−7, 3), D(−7, 5)
C(2, 3), D(2, 5)
C(−2, 3), D(−2, 5)
C(0, 3), D(0, 5)

Answer 1

The answer is C!

Step-by-step explanation:

I just took the test! :)

Answer 2

• C(0, 3), D(0, 5)

Step-by-step explanation:

Points we are interested in given:

• A(-4, 5), B(-4, 3)

Points C and D have 2 possible places

1. To the left from A and B on the grid. They will have coordinates:

• (-8, 3) and (-8, 5) (red points on the grid)

2. To the right from A and B on the grid. They will have coordinates:

• (0, 3) and (0, 5)

Correct answer choice reflecting these coordinates is the last one which reflects the second option

Also see attached