Which set of vertices forms a parallelogram?

a(2, 4), b(3, 3), c(6, 4), d(5, 6)

a(-1, 1), b(2, 2), c(5, 1), d(4, 1)

a(-5, -2), b(-3, 3), c(3, 5), d(1, 0)

a(-1, 2), b(1, 3), c(5, 3), d(1, 1)

Option 3rd is correct

A(-5, -2), B(-3, 3), C(3, 5), D(1, 0) set of vertices forms a parallelogram

Step-by-step explanation:

Slope formula is given by:

Properties of the parallelogram:

Consider the set of vertices:

A(-5, -2), B(-3, 3), C(3, 5), D(1, 0)

Apply the slope formula:

Similarly for BC;

and

⇒Slope of AB =Slope of CD and Slope of BC = Slope of AD

By property of parallelogram:

⇒A(-5, -2), B(-3, 3), C(3, 5), D(1, 0) set of vertices forms a parallelogram