Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram P'Q'R'S'. Which rule describes this transformation? A. (x, y) --> (x, -y) B. (x, y) --> (-x, y) C. (x, y) --> (-x, -y) D. (x, y) --> (y, -x)

D. (x, y) --> (y, -x)

Step-by-step explanation:

The rule for a 90° clockwise rotation about the origin results in a transformation as : (x, y) --> (y, -x)

The rule for a 90° counterclockwise rotation about the origin results in a transformation as : (x, y) --> (-y, x)

For 180° rotation abiut the origin : (x, y) --> (-x, - y)

For 270°:

clockwise rotation : (x, y) --> (-y, x)

Counterclockwise rotation : (x, y) --> (y, -x)

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225