1. **Problem Statement:** We are asked to identify the terminal side of the angle \(\angle ABF\) which measures 225°. 2. **Understanding the Angle:** The angle is formed at point B, with rays extending to points A, B, F, C, D, and E. The angle \(\angle ABF\) means the vertex is at B, and the rays are from B to A and B to F. 3. **Angle Measurement:** The angle is 225°, which is measured counterclockwise from the initial side to the terminal side. 4. **Initial Side:** The initial side of the angle is \(\overrightarrow{BA}\) (from B to A), which lies along the positive x-axis. 5. **Terminal Side:** Since the angle is 225°, it lies in the third quadrant (180° to 270°). The ray that corresponds to this terminal side is \(\overrightarrow{BF}\) because point F is located in the top-left quadrant (second quadrant), but the angle is measured from A to F passing through C and E, so the terminal side is actually \(\overrightarrow{BC}\) which lies in the third quadrant. 6. **Conclusion:** The terminal side of \(\angle ABF\) is \(\overrightarrow{BC}\). **Final answer:** B. \(\overrightarrow{BC}\)