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 for a point $(x,y)$ is $(x,y)\to(-y,x)$.

Step2: Identify coordinates of point D

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

Step3: Apply rotation rule

For point D with $x=-4$ and $y = - 8$, substituting into the rule $(-y,x)$ gives $-(-8),-4$ which simplifies to $(8,-4)$.

Answer:

$(8,-4)$