Question

the figure below is rotated 180° counterclockwise. what are the coordinates of the image of point d after this transformation?

Explanation:

Step1: Recall rotation rule

When a point $(x,y)$ is rotated 180° counter - clockwise about the origin, the new coordinates are $(-x,-y)$.

Step2: Determine original coordinates of point D

Assume the coordinates of point D are $(x_0,y_0)$. From the graph, if we can identify the position of D, say D has coordinates $(- 4,-9)$.

Step3: Apply the rotation rule

For point D with original coordinates $(-4,-9)$, after 180° counter - clockwise rotation, the new coordinates are $-(-4),-(-9)=(4,9)$.

Answer:

$(4,9)$