Question

Three vertices of a parallelogram are shown in the figure below.

Give the coordinates of the fourth vertex.

Answer 1

`(-6,1)`

Explanation:

The vector from
`(-2,9)` to
`(3,7)` is
`(5,-2)`.

So, the vector from
`(-1,-1)` to the fourth vertex is
`(-5,2)`, meaning the fourth vertex has coordinates
`(-1-5,-1+2)=(-6,1)`.