Question

If you want to prove that the diagonals of a parallelogram bisect each other using coordinate geometry, how would you place the parallelogram on the coordinate plane? Give the coordinates of the vertices for the placement you choose.

Answer 1

In general you can choose the vertices at any arbitrary points but for easier computations and calculations we can choose 1 vertex at origin with co-ordinates
`(0,0)` and it's adjacent vertex either on x-axis with co-ordinates
`(x,0)` or on y-axis with ordinates
`(0,y)`

Thus the coordinates of vertices become