Question

Each set of four ordered pairs below defines vertices, in counterclockwise order, of a quadrilateral. Determine if the quadrilateral is a parallelogram.

Answer 1

{(-2,-3), (-3,-6), (1,-2), (2,1)}

Answer 2

Since slope m is equal to (y1-y2)/(x1-x2) lets check this out.
(-3-(-6))/(-2-(-3)) =3/1=3
(-6-(-2))/(-3-1)=-4/-4=1
(-2-1)/(1-2)=-3/-1=3 If the next one is 1 then it is a parallelogram.
(1-(-3)/2-(-2))=4/4=1

Answer 3

It says all i should put for the answer is Yes or No... So i am guessing the answer is yes?

Answer 4

Yes the opposite sides have same slope so are parallel

Answer 5

Ok thanks a lot!

Answer 6

You're welcome.