Brainliest +30 points for the correct answer

Your answer is option H.

First find the equation of the circle. 

The formula of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the center. So we plug in the given information. Diameter is 10, so radius is 5. 

Your equation becomes:

(x + 2)² + (y + 2)² = 25

Now you plug in the ordered pairs. It can' be option F because that's the center. Next one I plugged in was option H, (- 6, - 5).

(- 6 + 2)² + (- 5 + 2)² = 25
( - 4)² + (- 3)² = 25
16 + 9 = 25
25 = 25

Because plugging in (- 6, - 5) gives you a true statement, it lies on Circle O.