Step-by-step explanation:
If the segments bisect each other, they will share the same midpoint.
Midpoint formula is:
(x, y) = ((x₁ + x₂)/2, (y₁ + y₂)/2)
Midpoint of MN is:
(x, y) = ((-5 + 5)/2, (6 + -2)/2)
(x, y) = (0, 2)
Midpoint of PQ is:
(x, y) = ((5 + -5)/2, (3 + 1)/2)
(x, y) = (0, 2)
So the segments do bisect each other.