Question

imagine a 90° (counterclockwise) rotation about the origin of the figure in the image. select the coordinate of d. (1 point) (8, -4) (4, -8) (8, 4) (-8, 4)

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree counter - clockwise rotation about the origin is $(x,y)\to(-y,x)$.

Step2: Identify original coordinates of D

From the graph, the coordinates of point D are $(4, - 8)$.

Step3: Apply rotation rule

Using the rule $(x,y)\to(-y,x)$ with $x = 4$ and $y=-8$, we get $(-(-8),4)=(8,4)$.

Answer:

$(8,4)$