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 rotated it counter clockwise 180 degrees, where would the new location be on the graph. Plot the new location. Hint. 180\deg clockwise and counterclockwise rotation: (x,y) becomes (-x,-y)
To find the new location after a counter-clockwise rotation of 180 degrees, we need to apply the transformation (-x, -y) to each coordinate of the original house.
Applying the transformation to each coordinate:
A(2,2) -> (-2, -2)
B(4,2) -> (-4, -2)
C(4,4) -> (-4, -4)
D(3,5) -> (-3, -5)
E(2,4) -> (-2, -4)
Plotting the new location on the graph:
The new location of the house after a counter-clockwise rotation of 180 degrees would be at (-2, -2), (-4, -2), (-4, -4), (-3, -5), and (-2, -4).