A quadrilateral is a shape with four vertices
The true statement about the quadrilateral ABCD is that the quadrilateral has unequal lengths
The coordinates of the vertices are given as:
A = (1,1)
B = (5,2)
C = (8, -6)
D = (0, -8)
Next, we calculate the distance between the vertices using the following distance formula
[tex]d=\sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]AB=\sqrt{(1 -5)^2 + (1 -2)^2} = \sqrt{17}[/tex]
[tex]BC=\sqrt{(5 - 8)^2 + (2 +6)^2} = \sqrt{73}[/tex]
[tex]CD=\sqrt{(8 - 0)^2 + (-6 + 8)^2} = \sqrt{68}[/tex]
[tex]DA=\sqrt{(0 - 1)^2 + (-8 - 1)^2} = \sqrt{82}[/tex]
From the above computation, we have the lengths to be unequal
Hence, the true statement about the quadrilateral ABCD is that it has unequal lengths
Read more about quadrilaterals at:
https://brainly.com/question/16691874
