The vertices form s rectangle.
Step-by-step explanation:
Given,
Let, four vertices are A(-5,5), B(4,2), C(3,1), D(-6,2)
To find out ABCD will be A type of quadrilateral
Formula
The length of two points (
,
) and (
) is ![\sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2} }](/tpl/images/0550/5303/57954.png)
Here,
AB โ
=
[
]
BC โ
=
[
]
CD โ
=
[![x_{1}=3, y_{1}=-1, x_{2}=-6, y_{2}=2]](/tpl/images/0550/5303/395f5.png)
DA โ
=
[ ![x_{1}=-6, y_{1}=2, x_{2}=-5, y_{2}= 5](/tpl/images/0550/5303/4c1d9.png)
So,
AB= CD and BC = DA
Hence, it is a rectangle.