1. **Problem statement:** Given points A, B, C, D, E and their images A', B', C', D', E' after translations described by movements in "Kästchen" (grid squares). 2. **Understanding translations:** A translation moves every point the same distance in the same direction. 3. **1a) Translation check:** - A → A': 7 right, 0 up - B → B': 7 right, 0 up - C → C': 7 right, 0 up All points moved 7 squares right, 0 up, so this is a correct translation. 4. **1b) Translation check:** - A → A': 0 up - B → B': 0 up - D → D': 0 up - C → C': 0 up Since no horizontal movement is mentioned, this means 0 right, 0 up for all points, which is a translation by zero vector (no movement). This is a valid translation. 5. **1c) Translation check:** - E → E': 5 right, 4 down - B → B': 5 right, 4 down - C → C': 5 right, 4 down - D → D': 5 right, 4 down All points moved 5 right and 4 down, so this is a correct translation. 6. **2a), 2b), 2c) Fehlerhafte Verschiebung (faulty translations):** The problem states these are faulty translations, meaning the points were not moved consistently by the same vector. **Final answers:** - 1a), 1b), 1c) are correct translations. - 2a), 2b), 2c) are faulty translations.