Question

Please Help me PLLLEEEAAASSSEEEEE

Answer 1

Answer:

A quadrilateral become square if all the sides joining the co-ordinate of quadrilateral is equal

Step-by-step explanation:

Here the given co-ordinate of quadrilateral are

G (3, -1)                  O(1, -6)

L(-4, -4)                  F(-2, 1)

Line GF = $\sqrt{(3+2)^2+(-1-1)^2}$

       GF = $\sqrt{29}$

Similarly for line OG, OL, FL

      OG = $\sqrt{(1-3)^2 +(-6+1)^2$

      OG = $\sqrt{29}$

     

      OL = $\sqrt{(-4-1)^2+(-6+4)^2}$

      OL = $\sqrt{29}$

And

      FL = $\sqrt{(-4+2)^} +(-4+1)^2$

      FL = $\sqrt{29}$

all the sides of quadrilateral GF,  OG, OL, FL all equal to $\sqrt{29}$

As all the sides are equal so quadrilateral become square      Answer