It looks like you want to rotate triangle $\triangle PQR$ 270° counterclockwise around the origin.

To do this, we apply the rotation formula for 270° counterclockwise:

• The formula for rotating a point $(x, y)$ 270° counterclockwise around the origin is $(x', y') = (y, -x)$.

Let's first determine the coordinates of points P, Q, and R based on the image, and then apply this formula to rotate the points.

Please hold on while I extract the coordinates. PIL import Image

Open the image to inspect it manually and extract coordinates.

image_path = '/mnt/data/1740977964654fdclmgex.jpg' img = Image.open(image_path) img.show() # Display the image so I can visually inspect and determine the coordinates.I have displayed the image to inspect it. However, I cannot directly interpret visual information from it. If you could provide the coordinates of points $P$, $Q$, and $R$, I can help with the rotation process. Alternatively, if you want, I can guide you on how to read the coordinates from the graph and proceed with the rotation. Let me know how you'd like to proceed!