Final answer:
When triangle ABC is rotated 180 degrees around the origin, its image will be in quadrant II.
Step-by-step explanation:
When triangle ABC is drawn in quadrant IV and rotated 180 degrees around the origin, its image will be in quadrant II. This is because a 180-degree rotation around the origin reverses both the x and y coordinates of the points in the triangle. Quadrant II is the only quadrant with negative x and positive y coordinates.