1. The problem asks how the pre-image triangle ABC was transformed to create the image triangle A'B'C'. 2. The transformation described is a 90° clockwise rotation around point C. 3. The formula for a 90° clockwise rotation of a point $(x,y)$ around a pivot point $(x_c,y_c)$ is: $$ (x',y') = (x_c + (y - y_c), y_c - (x - x_c)) $$ This means each point is rotated such that the new coordinates are calculated relative to the pivot. 4. Applying this to points A and B around point C will map them to A' and B' respectively, confirming the rotation. 5. This transformation preserves distances from point C and rotates the figure 90° clockwise, matching the description and the graph. Final answer: The pre-image ABC was transformed by a 90° clockwise rotation around point C to create image A'B'C'.