The pole barn is moved by shifting each vertex 8 units right and 3 units down. ABC → A'B'C'. Original pole barn vertices: A(-90, 25), B(-50, 25), C(-50, 55). Transformation rule: (x, y) → (x + 8, y - 3). New coordinates after transformation: A'(-82, 22), B'(-42, 22), C'(-42, 52).
Identify the coordinates of the vertices of the pole barn. Since the pole barn is a rectangle with sides parallel to the axes, we can use the given information about its dimensions and location to find the coordinates. For example, the southeast corner is (-50, 25), so the southwest corner is (-50 - 40, 25) = (-90, 25).
Apply the transformation rule (x, y) → (x + 8, y - 3) to each vertex of the pole barn. This will give us the new coordinates of the vertices after moving the pole barn. For example, the southeast corner will be mapped to (-50 + 8, 25 - 3) = (-42, 22).
Write the transformation statement for moving Paul’s pole barn. This is a statement that describes how the original triangle ABC is mapped to the new triangle A’B’C’. For example, we can write: ABC → A’B’C’ where A(-90, 25) → A’(-82, 22), B(-50, 25) → B’(-42, 22), and C(-50, 55) → C’(-42, 52).