Prove that the quadrilateral defined by the points M(2,4), I(1,2), L(5,1), K(4,−1) is a parallelogram. Which Formula did you select and Why?

The given points isn't define a parallelogram.

Step-by-step explanation:

As we know,

⇒ The opposite sides of a parallelogram are equal.

The given points are:

(x1, y1) = M(2,4)

(x2, y2) = I(1,2)

(x3, y3) = L(5,1)

(x4, y4) = K(4,−1)

Now,

On applying the Distance formula, we get

MI =

On substituting the given values, we get

    =

    =

    =

IL =

   =

   =

   =

LK =

     =

     =

     =

KM =

      =

      =

      =

Here, MI = LK = √5

          IL ≠ KM

none cuz there are no "following statements" regarding the question

step-by-step explanation: