Mathematics: WEST is a parallelogram. If m find the value of y and m

WEST is a parallelogram. If m find the value of

nickocasamplonp6mlob

18.02.2022

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 = $\sqrt{(x 2 - x 1)^2 + (y 2 - y 1)^2}$

On substituting the given values, we get

= $\sqrt{(1 - 2)^2 + (2- 4)^2}$

= $\sqrt{1+4}$

= $\sqrt{5}$

IL = $\sqrt{(x 3 - x 2)^2 + (y 3 - y 2)^2}$

= $\sqrt{(5-1)^2+(1-2)^2}$

= $\sqrt{16+1}$

= $\sqrt{17}$

LK = $\sqrt{(x 4 - x 3)^2 + (y 4 - y 3)^2}$

= $\sqrt{(4-5)^2+(-1-1)^2}$

= $\sqrt{1+4}$

= $\sqrt{5}$

KM = $\sqrt{(x 4 - x 1)^2 + (y 4 - y 1)^2}$

= $\sqrt{(4-2)^2+(-1-4)^2}$

= $\sqrt{4+25}$

= $\sqrt{29}$

Here, MI = LK = √5

IL ≠ KM

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