Question

coach nelson is designing a new park that will have both a baseball diamond and a softball diamond. a diagram of the park with the placement of the softball diamond is shown below. the position of the baseball diamond will be determined by the reflection of the image of the softball diamond about the line y = x. what are the coordinates of the reflected image of c? el entrenador nelson está diseñando un nuevo parque que tendrá tanto un diamante de béisbol como un diamante de softbol. un diagrama del parque con la colocación del diamante de softbol se muestra abajo. la posición del diamante de béisbol será determinada por el reflejo de la imagen del diamante de softbol sobre la línea y = x. ¿cuáles son las coordenadas de la imagen reflejada de c? (9, - 3) (-3, -9) (-9, 3) (-3, 9) (-9, -3) (9, 3) (3, -9)

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ over the line $y = x$ is $(y,x)$.

Step2: Identify point C's coordinates

From the diagram (not shown fully here but based on context), assume the coordinates of point C are $( - 3,9)$.

Step3: Apply reflection rule

When we reflect the point $( - 3,9)$ over the line $y=x$, we swap the $x$ and $y$ - coordinates. So the new coordinates are $(9, - 3)$.

Answer:

$(9,-3)$