Question

If you could give me the answer without explantion i would be happy to leave a good review

Answer 1

Answer:

The coordinates of the fourth side are (6, -8)

Step-by-step explanation:

Let the coordinate of the fourth side be (x, y)

The diagonals of a parallelogram bisect eachother, so the midpoint of (-3, -2) and (x, y) is equal to the midpoint of (4, -4) and (-1, -6)

`\begin{gathered} ((x-3)/(2),(y-2)/(2))=((4-1)/(2),(-6-4)/(2)) \\ \\ ((x-3)/(2),(y-2)/(2))=((3)/(2),-5) \\ \\ (x-3)/(2)=(3)/(2)\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\text{.}(1) \\ \\ (y-2)/(2)=-5\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots.(2) \end{gathered}`

Solving these equations:

x - 3 = 3

x = 3 + 3 = 6

and

y - 2 = -10

y = -10 + 2 = -8

The coordinates are (6, -8)