Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex. Coordinates: (-3,8) (4,5) (2,-5)

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

On comparing both sides, we get

And,

Therefore, the coordinates of fourth vertex are (-5,-2).

ddsf

step-by-step explanation:

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i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: