Show that the four points A(-2 3) B(6 7) C(8 3) and D(0 -1) are the vertices of a rectangle

Firstly,

Let A(-2 3), B(6 7), C(8 3), D(0 -1) be given points of rectangle.

Step-by-step explanation:

Then, AB =

Now

CD=

Here, AB=CD

Finally,

Diagonal of AC must be equal to Diagonal of BD to prove that the given points are the vertices of a rectangle.

so,

Diagonal of AC=

Diagonal of BD=

Finally, Diagonal of AC = Diagonal of BD.

The given points are the vertices of Rectangle.

lo.lll

step-by-step explanation:

-4

step-by-step explanation: