Question

One side of a parallelogram has endpoints `(3,3), (1,7)`. What are the endpoints for the side opposite?

Answer 1

There are an infinite number of parallelograms with opposite side `(3,3),(1,7)`. Any non-collinear segment with endpoints `(3+x,3+y),(1+x,7+y)` will work, which we can rewrite

`(x,y),(x-2,y+4)`