1. **State the problem:** Identify which shapes are translations of shape X. A translation means the shape is shifted without rotation or resizing. 2. **Recall the vertices of shape X:** (1,5), (2,5), (1,6). 3. **Check each shape's vertices and compare relative positions:** - Shape X has a right angle at (1,5), with points one unit right and one unit up. 4. **Shape A vertices:** (2,8), (3,8), (2,9). - The relative positions match shape X: one unit right and one unit up from the right angle. - This is a translation of X shifted up by 3 units. 5. **Shape B vertices:** (4,8), (7,8), (4,10). - The base length is 3 units (4 to 7), not 1. - Not a translation (shape resized). 6. **Shape C vertices:** (4,6), (5,6), (4,7). - Matches relative positions of X. - Translation shifted right by 3 and up by 1. 7. **Shape D vertices:** (8,7), (9,6), (9,7). - Orientation differs (right angle not at the same relative vertex). - Not a translation. 8. **Shape E vertices:** (6,3), (6,4), (5,4). - Orientation differs (right angle at different vertex and shape flipped). - Not a translation. 9. **Shape F vertices:** (8,3), (10,3), (10,4). - Base length 2 units, not 1. - Not a translation. 10. **Shape G vertices:** (2,1), (3,1), (2,2). - Matches relative positions of X. - Translation shifted down by 4 units. 11. **Shape H vertices:** (7,1), (9,1), (7,2). - Base length 2 units, not 1. - Not a translation. **Final answer:** Shapes A, C, and G are translations of shape X.