Can anyone help me find the coordinates (?,?) given that the shape is a parallelogram? (15 points)

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Diagonals of the parallelogram bisect each other.

Solve using mid-point formula:

Here

To find the missing coordinate:

Let the missing coordinates by x and y.

Here

Now equate the x-coordinate.

Multiply by 2 on both sides of the equation, we get

m + h = x

x = m + h

Now equate the y-coordinate.

Multiply by 2 on both sides of the equation, we get

n = y

y = n

Hence the missing coordinates of the parallelogram is (m + h, n).