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.

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!