Question

The coordinates of S are (5,4). What are the coordinates of S' after the figure is rotated 90 degrees about the origin? A.)?(-5,-4) B.) (-5,4) C.) (-4,5) D.) (4,5)

Answer 1

The general rule for 90° counterclockwise rotation about the origin is given by:
(x,y)→(-y,x)
thus given that S has coordinates of (5,4), then rotation through 90° will map the the figure on S'(-4,5). Hence the answer is:
C](-4,5)