1. The problem involves translating geometric shapes on a vertical grid. 2. Translation means moving a shape without rotating or resizing it. Moving "1 place right, 3 places down" means shifting the shape's position by +1 in the horizontal direction and -3 in the vertical direction. 3. For the triangle: original position is at the center. After translation, the new position is calculated by adding the translation vector to the original coordinates. 4. The rectangle is moved "3 places up, 5 places left," meaning -5 horizontally and +3 vertically from its original center. 5. The right triangle is moved "6 places up, 2 places right," meaning +2 horizontally and +6 vertically from its original center. 6. These translations preserve the shape and orientation but change their positions on the grid. Final positions: - Triangle: center shifted by $(+1, -3)$ - Rectangle: center shifted by $(-5, +3)$ - Right triangle: center shifted by $(+2, +6)$