A tornado hit the area. It picked up YOUR house and rotated it 180 degrees counterclockwise.
Question 9
Plot and state the points (ordered pairs) of your new house from Chapter 3 after a counterclockwise rotation of 180 degrees about the origin.
To plot the new points of your house after a counterclockwise rotation of 180 degrees about the origin, we will take the original coordinates of each point and apply the transformation (x, y) -> (-x, -y).
Let's assume the original coordinates of your house in Chapter 3 were:
Point A: (x1, y1)
Point B: (x2, y2)
Point C: (x3, y3)
Point D: (x4, y4)
After the counterclockwise rotation of 180 degrees, the new coordinates of your house would be:
Point A': (-x1, -y1)
Point B': (-x2, -y2)
Point C': (-x3, -y3)
Point D': (-x4, -y4)
These are the ordered pairs for the new house after the counterclockwise rotation of 180 degrees about the origin.