A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation? \( \begin{array}{l}(x, y) \rightarrow(x+5, y-3) \\ (x, y) \rightarrow(x+5, y+3) \\ (x, y) \rightarrow(x-3, y+5) \\ (x, y) \rightarrow(x+3, y+5)\end{array} \)

When a shape is translated, each point of the shape shifts a specific distance in a given direction. In this case, moving 5 units up means you will add 5 to the y-coordinate, and moving 3 units to the left means you will subtract 3 from the x-coordinate. Thus, the correct rule for this translation is \( (x, y) \rightarrow (x-3, y+5) \). In the world of geometry, understanding translations is key to manipulating shapes! You can visualize translations by imagining sliding a rectangle along the grid without rotating or flipping it. This concept applies beyond geometry—like moving buildings in architecture or repositioning graphics in design!