Q:

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 Avenue. The line x equals negative 4 is Brick Street. The diagonal line is Dogwood Drive. Old Fire Department forms quadrilateral with ordered pairs R at negative 4, 7, S at negative 1, 7, T at negative 1, 3, U at negative 4, 3, A is at 4, negative 1 and B is at 1, negative 1. 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?

Accepted Solution

A:
Answer: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 places1. 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 optionAlso see attached