How would I find the coordinates of point A?

If the diagonals of a parallelogram EFGH intersect at pointA.

Would I take the coordinates of E and G and then put it into the equation: (x1+x2)/2 ,(y1+y2)/2 ?

1 answer

Correct! But continue reading...

The diagonals of a parallelogram intersect at each other's mid-point.
By finding the mid-point of each of the diagonals, you will get the intersection point.
However, it would be wise to check the mid-points of both diagonals to see if they have the same coordinates. If not, EFGH is not a parallelogram (or you have made a mistake in the calculations).