Answer:
(-8,-8)
Step-by-step explanation:
Coordinates of a midpoint:
The coordinates of the midpoint of a segment is given by the mean of the coordinates of the endpoints.
In this question:
Endpoints (-16,0) and (0,-16).
x-coordinate:
[tex]\frac{-16+0}{2} = -8[/tex]
y-coordinate:
[tex]\frac{0-16}{2} = -8[/tex]
Then:
(-8,-8)