12. Liv drew a map of her favorite park. She graphed the point $s\left(2 \frac{1}{2},-2\right)$ fror the swings. The picnic tables are located at $S$; a reflection of $S$ across the $x$-axis. The lake is located at 5 ", a reflection of $S^{\prime}$ across the $y$ axis. Identify the ordered pair that describes the location of the lake.

Step 1 ：Identify the location of point S. Point S is given as \((2 \frac{1}{2}, -2)\).

Step 2 ：Reflect point S across the x-axis to find the location of point S'. A reflection across the x-axis changes the sign of the y-coordinate, so point S' is located at \((2 \frac{1}{2}, 2)\).

Step 3 ：Reflect point S' across the y-axis to find the location of the lake. A reflection across the y-axis changes the sign of the x-coordinate, so the lake is located at \((-2 \frac{1}{2}, 2)\).

Step 4 ：\(\boxed{(-2 \frac{1}{2}, 2)}\) is the ordered pair that describes the location of the lake.