The vertex of a rectangle whose side lengths are 6 and 8 lies at the point (-4,6) in the rectangular coordinate plane. Which of the following points could be a vertex of this rectangle?

(A) (2,-2)
(B) (2,8)
(C) (-4,-10)
(D) (-4,-4)
(E) (-10,2)

1 answer

-4±6 = 2 or -10
6±8 = 14 or -2

-4±8 = 4 or -12
6±6 = 12 or 0

So, pick the point which satisfies those conditions.

Looks like (A) to me