Subjects geometry

Shape Translations 1D5Ddb

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1. The problem asks to identify which shapes are translations of shape X. 2. A translation means the shape has the same size and orientation but is shifted to a different position without rotation or resizing. 3. Shape X has vertices at approximately (2,5), (4,5), (2,7). 4. We check each candidate shape's vertices and compare their relative positions and orientation to shape X. 5. Shape A vertices: (1,8), (3,8), (3,10). This matches shape X's size and orientation, just shifted up and left. 6. Shape B vertices: (5,6), (5,8), (7,8). This matches shape X's size and orientation, shifted up and right. 7. Shape D vertices: (0,4), (2,4), (0,6). This matches shape X's size and orientation, shifted down and left. 8. Shape F vertices: (3,1), (5,1), (3,3). This matches shape X's size and orientation, shifted down. 9. Other shapes differ in size or orientation and are not translations. 10. Therefore, the translations of shape X are shapes A, B, D, and F. Final answer: Shapes A, B, D, and F are translations of shape X.