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.

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 and it's adjacent vertex either on x-axis with co-ordinates or on y-axis with ordinates

Thus the coordinates of vertices become

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step-by-step explanation:

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