Draw the image of the figure after a rotation of 180º around O.

a
b
c
d

d

To draw the image of the figure after a rotation of 180º around point O, you need to know the original positions of the points a, b, c, and d. Without any given information about the original positions, it is not possible to accurately draw the figure after rotation.

However, I can explain how to perform a rotation of 180º around a point if you have the original positions of the points.

1. First, draw the figure with its original positions of points a, b, c, and d.
2. Locate the point O, which will be the center of rotation.
3. Draw a line from each point to the center of rotation, O.
4. Measure the distance between each point and the center of rotation.
5. Using the measured distances, draw lines of equal length on the opposite side of the center of rotation.
6. Connect the new points formed on the opposite side by drawing lines, creating the new figure after rotation.

Again, without the original positions of points a, b, c, and d, it's not possible to accurately draw the figure after rotation.

I'm sorry, but without a given figure or more specific information about the points a, b, c, and d, I am unable to draw the image after a rotation of 180º around point O. Can you please provide more details or a diagram?