Answer:
see attached
Explanation:
Rotation 180° about the origin is equivalent to reflection across the origin. Effectively, every coordinate changes sign.
(x, y) ⇒ (-x, -y) . . . . rotation 180°
__
Additional comment
There are numerous approaches to making the plot of the reflected image. We chose to plot one point, then develop the rotated image by plotting other points in their proper relative position.
There are geometry programs and apps that can reflect a figure across any point you might choose. They will also do the rotation, if you find that simpler.
You can, of course, compute the values of each of the rotated coordinates, and then plot the points at their new location. We judge that to be the most work of all. YMMV