The rule that describes the composition of transformations that maps figure PQRS to figure P"Q"R"S"is r y-axis • RO, 90° (x, y)
How to determine the transformation?
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From the image, we have:
P = (1,1)
Q = (1,5)
R = (3,5)
S = (3,1)
Start by reflecting PQRS across the y-axis. i.e. r y-axis
This is done by
(x, y) -> (-x,y)
So, we have:
P' = (-1,1)
Q' = (-1,5)
R' = (-3,5)
S' = (-3,1)
Next, we rotate by 90 degrees counterclockwise i.e. RO, 90° (x, y)
This is done by
(x, y) -> (-y, x)
So, we have:
P'' = (-1,-1)
Q'' = (-5,-1)
R'' = (-5,-3)
S'' = (-1,-3)
Hence, the rule that describes the composition of transformations that maps figure PQRS to figure P"Q"R"S"is r y-axis • RO, 90° (x, y)
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