If (-5, 3), (-7,

Given: Vertices of parallelogram A(-5, 3), B(-7, -2), C(x, 2) and D(2, y)

Theorem: Diagonals of a parallelogram bisect each other.

Therefore,

P(x, y) is the midpoint of BD and AC.

We know, by midpoint formula that midpoint of (x₁, y₁) and (x₂, y₂) is .

Now,

For BD,

(x, y)

(x, y) ….(1)

For AC,

(x, y)

(x, y) ….(2)

Equating 1 and 2, we get,

x – 5 = - 5

x = 0

And,

y – 2 = 5

y = 7

Hence, x = 0 and y = 7