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 = [tex]\sqrt{(3+2)^2+(-1-1)^2}[/tex]
GF = [tex]\sqrt{29}[/tex]
Similarly for line OG, OL, FL
OG = [tex]\sqrt{(1-3)^2 +(-6+1)^2[/tex]
OG = [tex]\sqrt{29}[/tex]
OL = [tex]\sqrt{(-4-1)^2+(-6+4)^2}[/tex]
OL = [tex]\sqrt{29}[/tex]
And
FL = [tex]\sqrt{(-4+2)^} +(-4+1)^2[/tex]
FL = [tex]\sqrt{29}[/tex]
all the sides of quadrilateral GF, OG, OL, FL all equal to [tex]\sqrt{29}[/tex]
As all the sides are equal so quadrilateral become square Answer
