Answer:
See explanation
Explanation:
Since the coordinates of D is missing, I assume the coordinates are: (4,-6).
To reflect in the line y=x, we simply swap the x and y-coordinates.
The mapping is
![(x,y)\to(y,x)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/wg4b591saqd7kc2vnxyqzs2mkouxp0brqu.png)
Therefore
![D(4, - 6)\to D'( - 6,4)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/dtscwtvx38bw07n85kx1wrmyd4sbeyj525.png)
Therefore the coordinates of D after a reflection in y=x is (-6,4)