Question

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

Explanation:

Step1: Recall rotation rule

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

Step2: Identify original coordinates of D

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

Step3: Apply rotation rule

Using the rule $(x,y)\to(-y,x)$, for $x = 4$ and $y=-8$, we have $-y=-(-8) = 8$ and $x = 4$. So the new coordinates of $D'$ are $(8,4)$.

Answer:

$(8,4)$