Aparrallelogram is graphed on a coordinate plane so the two points are in the first quadrant and two points are in the third quadrant. what are the possible coordinates of the vertices of the parallelogram?

A quadrilateral is said to be a parallelogram

1.Opposite sides are equal and parallel.

2. Diagonal bisect each other.

3. Opposite angles are equal.

It is given that , a Parrallelogram is graphed on a coordinate plane so the two points are in the first quadrant and two points are in the third quadrant.

Suppose ABCD is a Parallelogram.Then AB=CD and AD=BC.

Given, Vertices A,B lies in first Quadrant and Vertices C and D lies in Third Quadrant.Then Vertices of Parallelogram ABCD are

A=( x, y) and B=( y, x)

Then, C= (- x,- y) and D= (- y,- x), Arranged in Alphabetical order, that is A,B and C and D.