Question

Directions: Answer the following questions, showing all pertinent work. Paul has a 40 ft. by 30 ft. pole barn on his farm that he wants to move. The southeast corner of the pole barn is currently located 50 ft. west and 25 ft. north of the stock tank where the cows get their water. Paul wants to move the pole barn so the southeast corner of the barn is located 80 feet east and 80 feet south of the stock tank. 1. Complete the transformation statement for moving Paul’s pole barn. (x, y)→(x + _______ , y + _______ ) —continue to the next page—

Answer 1

Answer: (x + 130, y - 55)

Step-by-step explanation: If the southeast corner of the pole barn is the only reference point, it only requires this one point and not the size of the barn.

Let's set this up first: West/South= Negative x/y, and East/North= Positive x/y.

Currently, the corner is at -50, 25. The corner needs to be moved to 80, -80.

For x: |-50|+80=130

For y: |25|+(-80)=-55

The formula for this is |a|+b=c.

This leaves it with (x + 130, y - 55)