Question

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. What are the possible coordinates of the vertices of the parallelogram?

Answer 1

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.