Suppose a tornado picked up your old house that was located at A(2,2), B(4,2), C(4,4), D(3,5), and E(2,4) and it rotate it counter clockwise 180 degrees, where would the new location be on the graph. Plot the new location. Hint. 180 degrees clockwise and counterclockwise rotation: (x,y) becomes (-x,-y)
To find the new location after a counter-clockwise 180-degree rotation, each coordinate point (x, y) of the original house needs to be transformed using the formula (-x, -y).
For the old house located at A(2, 2), B(4, 2), C(4, 4), D(3, 5), and E(2, 4), the new coordinates would be:
A'(-2, -2)
B'(-4, -2)
C'(-4, -4)
D'(-3, -5)
E'(-2, -4)
Plotting the new location on the graph, we connect the points A', B', C', D', and E' and form a new shape that represents the transformed house.